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Finding the Fourth Proportional to 522,084.70, 783,127.05 and 312,132.70

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Solution

The fourth proportional to 522,084.70, 783,127.05 and 312,132.70 is: 468,199.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,084.70 : 783,127.05 = 312,132.70 : x
  2. Step 2: Convert to fraction form
    522,084.70/783,127.05 = 312,132.70/x
  3. Step 3: Cross multiply
    522,084.70x = 783,127.05 × 312,132.70
  4. Step 4: Simplify right side
    522,084.70x = 244,439,560,559.54
  5. Step 5: Solve for x
    x = 244,439,560,559.54/522,084.70
  6. Step 6: Final answer
    x = 468,199.05

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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.