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Finding the Fourth Proportional to 284,739.32, 392,948.46 and 157,423.10

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Solution

The fourth proportional to 284,739.32, 392,948.46 and 157,423.10 is: 217,248.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,739.32 : 392,948.46 = 157,423.10 : x
  2. Step 2: Convert to fraction form
    284,739.32/392,948.46 = 157,423.10/x
  3. Step 3: Cross multiply
    284,739.32x = 392,948.46 × 157,423.10
  4. Step 4: Simplify right side
    284,739.32x = 61,859,164,713.43
  5. Step 5: Solve for x
    x = 61,859,164,713.43/284,739.32
  6. Step 6: Final answer
    x = 217,248.41

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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.