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Finding the Fourth Proportional to 733,497.14, 1,012,225.37 and 411,207.30

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Solution

The fourth proportional to 733,497.14, 1,012,225.37 and 411,207.30 is: 567,465.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,497.14 : 1,012,225.37 = 411,207.30 : x
  2. Step 2: Convert to fraction form
    733,497.14/1,012,225.37 = 411,207.30/x
  3. Step 3: Cross multiply
    733,497.14x = 1,012,225.37 × 411,207.30
  4. Step 4: Simplify right side
    733,497.14x = 416,234,459,333.17
  5. Step 5: Solve for x
    x = 416,234,459,333.17/733,497.14
  6. Step 6: Final answer
    x = 567,465.69

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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.