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Finding the Fourth Proportional to 410,010.30, 614,497.05 and 365,427.90

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Solution

The fourth proportional to 410,010.30, 614,497.05 and 365,427.90 is: 547,679.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,010.30 : 614,497.05 = 365,427.90 : x
  2. Step 2: Convert to fraction form
    410,010.30/614,497.05 = 365,427.90/x
  3. Step 3: Cross multiply
    410,010.30x = 614,497.05 × 365,427.90
  4. Step 4: Simplify right side
    410,010.30x = 224,554,366,537.70
  5. Step 5: Solve for x
    x = 224,554,366,537.70/410,010.30
  6. Step 6: Final answer
    x = 547,679.82

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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.