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Finding the Fourth Proportional to 506,008.32, 757,437.76 and 318,626.24

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Solution

The fourth proportional to 506,008.32, 757,437.76 and 318,626.24 is: 476,947.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,008.32 : 757,437.76 = 318,626.24 : x
  2. Step 2: Convert to fraction form
    506,008.32/757,437.76 = 318,626.24/x
  3. Step 3: Cross multiply
    506,008.32x = 757,437.76 × 318,626.24
  4. Step 4: Simplify right side
    506,008.32x = 241,339,545,502.82
  5. Step 5: Solve for x
    x = 241,339,545,502.82/506,008.32
  6. Step 6: Final answer
    x = 476,947.78

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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.