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Finding the Fourth Proportional to 543,013.10, 746,700.79 and 471,268.56

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Solution

The fourth proportional to 543,013.10, 746,700.79 and 471,268.56 is: 648,044.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,013.10 : 746,700.79 = 471,268.56 : x
  2. Step 2: Convert to fraction form
    543,013.10/746,700.79 = 471,268.56/x
  3. Step 3: Cross multiply
    543,013.10x = 746,700.79 × 471,268.56
  4. Step 4: Simplify right side
    543,013.10x = 351,896,604,875.99
  5. Step 5: Solve for x
    x = 351,896,604,875.99/543,013.10
  6. Step 6: Final answer
    x = 648,044.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.