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Finding the Fourth Proportional to 524,398.78, 723,691.92 and 294,966.78

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Solution

The fourth proportional to 524,398.78, 723,691.92 and 294,966.78 is: 407,066.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,398.78 : 723,691.92 = 294,966.78 : x
  2. Step 2: Convert to fraction form
    524,398.78/723,691.92 = 294,966.78/x
  3. Step 3: Cross multiply
    524,398.78x = 723,691.92 × 294,966.78
  4. Step 4: Simplify right side
    524,398.78x = 213,465,075,354.42
  5. Step 5: Solve for x
    x = 213,465,075,354.42/524,398.78
  6. Step 6: Final answer
    x = 407,066.31

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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.