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Finding the Fourth Proportional to 284,059.04, 392,003.88 and 156,743.12

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Solution

The fourth proportional to 284,059.04, 392,003.88 and 156,743.12 is: 216,306.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,059.04 : 392,003.88 = 156,743.12 : x
  2. Step 2: Convert to fraction form
    284,059.04/392,003.88 = 156,743.12/x
  3. Step 3: Cross multiply
    284,059.04x = 392,003.88 × 156,743.12
  4. Step 4: Simplify right side
    284,059.04x = 61,443,911,203.31
  5. Step 5: Solve for x
    x = 61,443,911,203.31/284,059.04
  6. Step 6: Final answer
    x = 216,306.83

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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.