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Finding the Fourth Proportional to 523,510.80, 785,266.20 and 470,366.70

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Solution

The fourth proportional to 523,510.80, 785,266.20 and 470,366.70 is: 705,550.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,510.80 : 785,266.20 = 470,366.70 : x
  2. Step 2: Convert to fraction form
    523,510.80/785,266.20 = 470,366.70/x
  3. Step 3: Cross multiply
    523,510.80x = 785,266.20 × 470,366.70
  4. Step 4: Simplify right side
    523,510.80x = 369,363,071,115.54
  5. Step 5: Solve for x
    x = 369,363,071,115.54/523,510.80
  6. Step 6: Final answer
    x = 705,550.05

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.