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Finding the Fourth Proportional to 284,599.61, 392,714.03 and 157,267.61

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Solution

The fourth proportional to 284,599.61, 392,714.03 and 157,267.61 is: 217,010.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,599.61 : 392,714.03 = 157,267.61 : x
  2. Step 2: Convert to fraction form
    284,599.61/392,714.03 = 157,267.61/x
  3. Step 3: Cross multiply
    284,599.61x = 392,714.03 × 157,267.61
  4. Step 4: Simplify right side
    284,599.61x = 61,761,196,125.23
  5. Step 5: Solve for x
    x = 61,761,196,125.23/284,599.61
  6. Step 6: Final answer
    x = 217,010.82

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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.