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Finding the Fourth Proportional to 410,325.60, 614,451.60 and 269,320.80

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Solution

The fourth proportional to 410,325.60, 614,451.60 and 269,320.80 is: 403,300.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,325.60 : 614,451.60 = 269,320.80 : x
  2. Step 2: Convert to fraction form
    410,325.60/614,451.60 = 269,320.80/x
  3. Step 3: Cross multiply
    410,325.60x = 614,451.60 × 269,320.80
  4. Step 4: Simplify right side
    410,325.60x = 165,484,596,473.28
  5. Step 5: Solve for x
    x = 165,484,596,473.28/410,325.60
  6. Step 6: Final answer
    x = 403,300.69

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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.