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Finding the Fourth Proportional to 524,397.78, 723,690.54 and 294,965.78

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Solution

The fourth proportional to 524,397.78, 723,690.54 and 294,965.78 is: 407,064.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,397.78 : 723,690.54 = 294,965.78 : x
  2. Step 2: Convert to fraction form
    524,397.78/723,690.54 = 294,965.78/x
  3. Step 3: Cross multiply
    524,397.78x = 723,690.54 × 294,965.78
  4. Step 4: Simplify right side
    524,397.78x = 213,463,940,991.27
  5. Step 5: Solve for x
    x = 213,463,940,991.27/524,397.78
  6. Step 6: Final answer
    x = 407,064.92

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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.