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Finding the Fourth Proportional to 284,582.14, 392,710.60 and 157,255

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Solution

The fourth proportional to 284,582.14, 392,710.60 and 157,255 is: 217,004.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,582.14 : 392,710.60 = 157,255 : x
  2. Step 2: Convert to fraction form
    284,582.14/392,710.60 = 157,255/x
  3. Step 3: Cross multiply
    284,582.14x = 392,710.60 × 157,255
  4. Step 4: Simplify right side
    284,582.14x = 61,755,705,403
  5. Step 5: Solve for x
    x = 61,755,705,403/284,582.14
  6. Step 6: Final answer
    x = 217,004.85

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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.