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Finding the Fourth Proportional to 284,654.40, 392,823.20 and 157,330.02

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Solution

The fourth proportional to 284,654.40, 392,823.20 and 157,330.02 is: 217,115.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,654.40 : 392,823.20 = 157,330.02 : x
  2. Step 2: Convert to fraction form
    284,654.40/392,823.20 = 157,330.02/x
  3. Step 3: Cross multiply
    284,654.40x = 392,823.20 × 157,330.02
  4. Step 4: Simplify right side
    284,654.40x = 61,802,881,912.46
  5. Step 5: Solve for x
    x = 61,802,881,912.46/284,654.40
  6. Step 6: Final answer
    x = 217,115.50

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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.