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Finding the Fourth Proportional to 472,134.85, 708,343.11 and 443,937.13

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Solution

The fourth proportional to 472,134.85, 708,343.11 and 443,937.13 is: 666,038.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,134.85 : 708,343.11 = 443,937.13 : x
  2. Step 2: Convert to fraction form
    472,134.85/708,343.11 = 443,937.13/x
  3. Step 3: Cross multiply
    472,134.85x = 708,343.11 × 443,937.13
  4. Step 4: Simplify right side
    472,134.85x = 314,459,805,537.82
  5. Step 5: Solve for x
    x = 314,459,805,537.82/472,134.85
  6. Step 6: Final answer
    x = 666,038.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.