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Finding the Fourth Proportional to 284,425.30, 392,473.47 and 157,093.30

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Solution

The fourth proportional to 284,425.30, 392,473.47 and 157,093.30 is: 216,770.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,425.30 : 392,473.47 = 157,093.30 : x
  2. Step 2: Convert to fraction form
    284,425.30/392,473.47 = 157,093.30/x
  3. Step 3: Cross multiply
    284,425.30x = 392,473.47 × 157,093.30
  4. Step 4: Simplify right side
    284,425.30x = 61,654,952,172.67
  5. Step 5: Solve for x
    x = 61,654,952,172.67/284,425.30
  6. Step 6: Final answer
    x = 216,770.28

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1.5x scale

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.