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Finding the Fourth Proportional to 524,410.47, 726,427.26 and 513,781.65

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Solution

The fourth proportional to 524,410.47, 726,427.26 and 513,781.65 is: 711,703.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,410.47 : 726,427.26 = 513,781.65 : x
  2. Step 2: Convert to fraction form
    524,410.47/726,427.26 = 513,781.65/x
  3. Step 3: Cross multiply
    524,410.47x = 726,427.26 × 513,781.65
  4. Step 4: Simplify right side
    524,410.47x = 373,224,996,247.78
  5. Step 5: Solve for x
    x = 373,224,996,247.78/524,410.47
  6. Step 6: Final answer
    x = 711,703.94

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.