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Finding the Fourth Proportional to 284,291.80, 392,320.08 and 156,964.60

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Solution

The fourth proportional to 284,291.80, 392,320.08 and 156,964.60 is: 216,609.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,291.80 : 392,320.08 = 156,964.60 : x
  2. Step 2: Convert to fraction form
    284,291.80/392,320.08 = 156,964.60/x
  3. Step 3: Cross multiply
    284,291.80x = 392,320.08 × 156,964.60
  4. Step 4: Simplify right side
    284,291.80x = 61,580,364,429.17
  5. Step 5: Solve for x
    x = 61,580,364,429.17/284,291.80
  6. Step 6: Final answer
    x = 216,609.71

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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.