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Finding the Fourth Proportional to 417,462.18, 626,267.64 and 133,215.12

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Solution

The fourth proportional to 417,462.18, 626,267.64 and 133,215.12 is: 199,846.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,462.18 : 626,267.64 = 133,215.12 : x
  2. Step 2: Convert to fraction form
    417,462.18/626,267.64 = 133,215.12/x
  3. Step 3: Cross multiply
    417,462.18x = 626,267.64 × 133,215.12
  4. Step 4: Simplify right side
    417,462.18x = 83,428,318,814.72
  5. Step 5: Solve for x
    x = 83,428,318,814.72/417,462.18
  6. Step 6: Final answer
    x = 199,846.41

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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.