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Finding the Fourth Proportional to 733,553.52, 1,012,352.49 and 411,284.40

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Solution

The fourth proportional to 733,553.52, 1,012,352.49 and 411,284.40 is: 567,599.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,553.52 : 1,012,352.49 = 411,284.40 : x
  2. Step 2: Convert to fraction form
    733,553.52/1,012,352.49 = 411,284.40/x
  3. Step 3: Cross multiply
    733,553.52x = 1,012,352.49 × 411,284.40
  4. Step 4: Simplify right side
    733,553.52x = 416,364,786,438.16
  5. Step 5: Solve for x
    x = 416,364,786,438.16/733,553.52
  6. Step 6: Final answer
    x = 567,599.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.