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Finding the Fourth Proportional to 457,321.52, 686,403.32 and 232,842.40

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Solution

The fourth proportional to 457,321.52, 686,403.32 and 232,842.40 is: 349,477.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,321.52 : 686,403.32 = 232,842.40 : x
  2. Step 2: Convert to fraction form
    457,321.52/686,403.32 = 232,842.40/x
  3. Step 3: Cross multiply
    457,321.52x = 686,403.32 × 232,842.40
  4. Step 4: Simplify right side
    457,321.52x = 159,823,796,396.77
  5. Step 5: Solve for x
    x = 159,823,796,396.77/457,321.52
  6. Step 6: Final answer
    x = 349,477.97

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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.