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Finding the Fourth Proportional to 410,032.92, 614,512.63 and 220,271.50

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Solution

The fourth proportional to 410,032.92, 614,512.63 and 220,271.50 is: 330,118.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,032.92 : 614,512.63 = 220,271.50 : x
  2. Step 2: Convert to fraction form
    410,032.92/614,512.63 = 220,271.50/x
  3. Step 3: Cross multiply
    410,032.92x = 614,512.63 × 220,271.50
  4. Step 4: Simplify right side
    410,032.92x = 135,359,618,779.05
  5. Step 5: Solve for x
    x = 135,359,618,779.05/410,032.92
  6. Step 6: Final answer
    x = 330,118.91

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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.