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Finding the Fourth Proportional to 432,862.56, 649,525.95 and 180,317.52

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Solution

The fourth proportional to 432,862.56, 649,525.95 and 180,317.52 is: 270,572.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,862.56 : 649,525.95 = 180,317.52 : x
  2. Step 2: Convert to fraction form
    432,862.56/649,525.95 = 180,317.52/x
  3. Step 3: Cross multiply
    432,862.56x = 649,525.95 × 180,317.52
  4. Step 4: Simplify right side
    432,862.56x = 117,120,908,479.64
  5. Step 5: Solve for x
    x = 117,120,908,479.64/432,862.56
  6. Step 6: Final answer
    x = 270,572.97

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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.