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Finding the Fourth Proportional to 457,322.52, 686,404.82 and 232,843.40

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Solution

The fourth proportional to 457,322.52, 686,404.82 and 232,843.40 is: 349,479.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,322.52 : 686,404.82 = 232,843.40 : x
  2. Step 2: Convert to fraction form
    457,322.52/686,404.82 = 232,843.40/x
  3. Step 3: Cross multiply
    457,322.52x = 686,404.82 × 232,843.40
  4. Step 4: Simplify right side
    457,322.52x = 159,824,832,065.19
  5. Step 5: Solve for x
    x = 159,824,832,065.19/457,322.52
  6. Step 6: Final answer
    x = 349,479.47

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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.