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Finding the Fourth Proportional to 520,089.70, 780,134.55 and 470,323.30

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Solution

The fourth proportional to 520,089.70, 780,134.55 and 470,323.30 is: 705,484.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,089.70 : 780,134.55 = 470,323.30 : x
  2. Step 2: Convert to fraction form
    520,089.70/780,134.55 = 470,323.30/x
  3. Step 3: Cross multiply
    520,089.70x = 780,134.55 × 470,323.30
  4. Step 4: Simplify right side
    520,089.70x = 366,915,456,000.02
  5. Step 5: Solve for x
    x = 366,915,456,000.02/520,089.70
  6. Step 6: Final answer
    x = 705,484.95

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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.