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Finding the Fourth Proportional to 358,727.76, 495,092.16 and 231,772.80

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Solution

The fourth proportional to 358,727.76, 495,092.16 and 231,772.80 is: 319,877.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,727.76 : 495,092.16 = 231,772.80 : x
  2. Step 2: Convert to fraction form
    358,727.76/495,092.16 = 231,772.80/x
  3. Step 3: Cross multiply
    358,727.76x = 495,092.16 × 231,772.80
  4. Step 4: Simplify right side
    358,727.76x = 114,748,896,181.25
  5. Step 5: Solve for x
    x = 114,748,896,181.25/358,727.76
  6. Step 6: Final answer
    x = 319,877.38

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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.