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Finding the Fourth Proportional to 284,373.18, 392,437.71 and 157,046.04

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Solution

The fourth proportional to 284,373.18, 392,437.71 and 157,046.04 is: 216,725.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,373.18 : 392,437.71 = 157,046.04 : x
  2. Step 2: Convert to fraction form
    284,373.18/392,437.71 = 157,046.04/x
  3. Step 3: Cross multiply
    284,373.18x = 392,437.71 × 157,046.04
  4. Step 4: Simplify right side
    284,373.18x = 61,630,788,302.17
  5. Step 5: Solve for x
    x = 61,630,788,302.17/284,373.18
  6. Step 6: Final answer
    x = 216,725.04

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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.