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Finding the Fourth Proportional to 471,906.46, 707,159.71 and 346,635.10

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Solution

The fourth proportional to 471,906.46, 707,159.71 and 346,635.10 is: 519,438.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,906.46 : 707,159.71 = 346,635.10 : x
  2. Step 2: Convert to fraction form
    471,906.46/707,159.71 = 346,635.10/x
  3. Step 3: Cross multiply
    471,906.46x = 707,159.71 × 346,635.10
  4. Step 4: Simplify right side
    471,906.46x = 245,126,376,791.82
  5. Step 5: Solve for x
    x = 245,126,376,791.82/471,906.46
  6. Step 6: Final answer
    x = 519,438.49

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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.