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Finding the Fourth Proportional to 284,726.60, 392,905.82 and 157,394.60

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Solution

The fourth proportional to 284,726.60, 392,905.82 and 157,394.60 is: 217,195.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,726.60 : 392,905.82 = 157,394.60 : x
  2. Step 2: Convert to fraction form
    284,726.60/392,905.82 = 157,394.60/x
  3. Step 3: Cross multiply
    284,726.60x = 392,905.82 × 157,394.60
  4. Step 4: Simplify right side
    284,726.60x = 61,841,254,376.57
  5. Step 5: Solve for x
    x = 61,841,254,376.57/284,726.60
  6. Step 6: Final answer
    x = 217,195.21

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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.