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Finding the Fourth Proportional to 316,002.60, 474,002.82 and 105,640.20

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Solution

The fourth proportional to 316,002.60, 474,002.82 and 105,640.20 is: 158,459.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,002.60 : 474,002.82 = 105,640.20 : x
  2. Step 2: Convert to fraction form
    316,002.60/474,002.82 = 105,640.20/x
  3. Step 3: Cross multiply
    316,002.60x = 474,002.82 × 105,640.20
  4. Step 4: Simplify right side
    316,002.60x = 50,073,752,705.36
  5. Step 5: Solve for x
    x = 50,073,752,705.36/316,002.60
  6. Step 6: Final answer
    x = 158,459.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.