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Finding the Fourth Proportional to 733,507.23, 1,012,239.30 and 411,217.40

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Solution

The fourth proportional to 733,507.23, 1,012,239.30 and 411,217.40 is: 567,479.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,507.23 : 1,012,239.30 = 411,217.40 : x
  2. Step 2: Convert to fraction form
    733,507.23/1,012,239.30 = 411,217.40/x
  3. Step 3: Cross multiply
    733,507.23x = 1,012,239.30 × 411,217.40
  4. Step 4: Simplify right side
    733,507.23x = 416,250,408,633.50
  5. Step 5: Solve for x
    x = 416,250,408,633.50/733,507.23
  6. Step 6: Final answer
    x = 567,479.62

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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.