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Finding the Fourth Proportional to 284,625, 392,748.48 and 157,283.28

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Solution

The fourth proportional to 284,625, 392,748.48 and 157,283.28 is: 217,032.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,625 : 392,748.48 = 157,283.28 : x
  2. Step 2: Convert to fraction form
    284,625/392,748.48 = 157,283.28/x
  3. Step 3: Cross multiply
    284,625x = 392,748.48 × 157,283.28
  4. Step 4: Simplify right side
    284,625x = 61,772,769,149.41
  5. Step 5: Solve for x
    x = 61,772,769,149.41/284,625
  6. Step 6: Final answer
    x = 217,032.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.