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Finding the Fourth Proportional to 317,686.77, 476,390.22 and 149,254.98

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Solution

The fourth proportional to 317,686.77, 476,390.22 and 149,254.98 is: 223,816.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,686.77 : 476,390.22 = 149,254.98 : x
  2. Step 2: Convert to fraction form
    317,686.77/476,390.22 = 149,254.98/x
  3. Step 3: Cross multiply
    317,686.77x = 476,390.22 × 149,254.98
  4. Step 4: Simplify right side
    317,686.77x = 71,103,612,758.30
  5. Step 5: Solve for x
    x = 71,103,612,758.30/317,686.77
  6. Step 6: Final answer
    x = 223,816.73

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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.