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Finding the Fourth Proportional to 318,352.24, 477,726 and 185,291.92

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Solution

The fourth proportional to 318,352.24, 477,726 and 185,291.92 is: 278,052.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,352.24 : 477,726 = 185,291.92 : x
  2. Step 2: Convert to fraction form
    318,352.24/477,726 = 185,291.92/x
  3. Step 3: Cross multiply
    318,352.24x = 477,726 × 185,291.92
  4. Step 4: Simplify right side
    318,352.24x = 88,518,767,773.92
  5. Step 5: Solve for x
    x = 88,518,767,773.92/318,352.24
  6. Step 6: Final answer
    x = 278,052.91

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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.