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Finding the Fourth Proportional to 731,502.12, 1,009,630.90 and 445,114.38

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Solution

The fourth proportional to 731,502.12, 1,009,630.90 and 445,114.38 is: 614,353.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,502.12 : 1,009,630.90 = 445,114.38 : x
  2. Step 2: Convert to fraction form
    731,502.12/1,009,630.90 = 445,114.38/x
  3. Step 3: Cross multiply
    731,502.12x = 1,009,630.90 × 445,114.38
  4. Step 4: Simplify right side
    731,502.12x = 449,401,232,082.34
  5. Step 5: Solve for x
    x = 449,401,232,082.34/731,502.12
  6. Step 6: Final answer
    x = 614,353.97

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Why These Related Problems?

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