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Finding the Fourth Proportional to 501,877.80, 752,816.70 and 478,549.80

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Solution

The fourth proportional to 501,877.80, 752,816.70 and 478,549.80 is: 717,824.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,877.80 : 752,816.70 = 478,549.80 : x
  2. Step 2: Convert to fraction form
    501,877.80/752,816.70 = 478,549.80/x
  3. Step 3: Cross multiply
    501,877.80x = 752,816.70 × 478,549.80
  4. Step 4: Simplify right side
    501,877.80x = 360,260,281,221.66
  5. Step 5: Solve for x
    x = 360,260,281,221.66/501,877.80
  6. Step 6: Final answer
    x = 717,824.70

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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.