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Finding the Fourth Proportional to 656,470.70, 985,094.85 and 478,529.90

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Solution

The fourth proportional to 656,470.70, 985,094.85 and 478,529.90 is: 718,078.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,470.70 : 985,094.85 = 478,529.90 : x
  2. Step 2: Convert to fraction form
    656,470.70/985,094.85 = 478,529.90/x
  3. Step 3: Cross multiply
    656,470.70x = 985,094.85 × 478,529.90
  4. Step 4: Simplify right side
    656,470.70x = 471,397,340,061.02
  5. Step 5: Solve for x
    x = 471,397,340,061.02/656,470.70
  6. Step 6: Final answer
    x = 718,078.26

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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.