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Finding the Fourth Proportional to 312,546.70, 431,316.52 and 169,306.74

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Solution

The fourth proportional to 312,546.70, 431,316.52 and 169,306.74 is: 233,644.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,546.70 : 431,316.52 = 169,306.74 : x
  2. Step 2: Convert to fraction form
    312,546.70/431,316.52 = 169,306.74/x
  3. Step 3: Cross multiply
    312,546.70x = 431,316.52 × 169,306.74
  4. Step 4: Simplify right side
    312,546.70x = 73,024,793,909.34
  5. Step 5: Solve for x
    x = 73,024,793,909.34/312,546.70
  6. Step 6: Final answer
    x = 233,644.42

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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.