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Finding the Fourth Proportional to 506,006.32, 757,434.84 and 318,624.16

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Solution

The fourth proportional to 506,006.32, 757,434.84 and 318,624.16 is: 476,944.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,006.32 : 757,434.84 = 318,624.16 : x
  2. Step 2: Convert to fraction form
    506,006.32/757,434.84 = 318,624.16/x
  3. Step 3: Cross multiply
    506,006.32x = 757,434.84 × 318,624.16
  4. Step 4: Simplify right side
    506,006.32x = 241,337,039,649.73
  5. Step 5: Solve for x
    x = 241,337,039,649.73/506,006.32
  6. Step 6: Final answer
    x = 476,944.71

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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.