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Finding the Fourth Proportional to 506,065.92, 698,094.50 and 324,575.88

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Solution

The fourth proportional to 506,065.92, 698,094.50 and 324,575.88 is: 447,737.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,065.92 : 698,094.50 = 324,575.88 : x
  2. Step 2: Convert to fraction form
    506,065.92/698,094.50 = 324,575.88/x
  3. Step 3: Cross multiply
    506,065.92x = 698,094.50 × 324,575.88
  4. Step 4: Simplify right side
    506,065.92x = 226,584,635,037.78
  5. Step 5: Solve for x
    x = 226,584,635,037.78/506,065.92
  6. Step 6: Final answer
    x = 447,737.39

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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.