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Finding the Fourth Proportional to 410,030.92, 614,509.64 and 220,269.50

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Solution

The fourth proportional to 410,030.92, 614,509.64 and 220,269.50 is: 330,115.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,030.92 : 614,509.64 = 220,269.50 : x
  2. Step 2: Convert to fraction form
    410,030.92/614,509.64 = 220,269.50/x
  3. Step 3: Cross multiply
    410,030.92x = 614,509.64 × 220,269.50
  4. Step 4: Simplify right side
    410,030.92x = 135,357,726,974.08
  5. Step 5: Solve for x
    x = 135,357,726,974.08/410,030.92
  6. Step 6: Final answer
    x = 330,115.91

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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.