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Finding the Fourth Proportional to 284,530.90, 392,660.56 and 157,214.70

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Solution

The fourth proportional to 284,530.90, 392,660.56 and 157,214.70 is: 216,960.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,530.90 : 392,660.56 = 157,214.70 : x
  2. Step 2: Convert to fraction form
    284,530.90/392,660.56 = 157,214.70/x
  3. Step 3: Cross multiply
    284,530.90x = 392,660.56 × 157,214.70
  4. Step 4: Simplify right side
    284,530.90x = 61,732,012,142.23
  5. Step 5: Solve for x
    x = 61,732,012,142.23/284,530.90
  6. Step 6: Final answer
    x = 216,960.66

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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.