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Finding the Fourth Proportional to 409,675.68, 614,512.80 and 160,182.72

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Solution

The fourth proportional to 409,675.68, 614,512.80 and 160,182.72 is: 240,273.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,675.68 : 614,512.80 = 160,182.72 : x
  2. Step 2: Convert to fraction form
    409,675.68/614,512.80 = 160,182.72/x
  3. Step 3: Cross multiply
    409,675.68x = 614,512.80 × 160,182.72
  4. Step 4: Simplify right side
    409,675.68x = 98,434,331,778.82
  5. Step 5: Solve for x
    x = 98,434,331,778.82/409,675.68
  6. Step 6: Final answer
    x = 240,273.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.