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Finding the Fourth Proportional to 513,145.74, 707,679.54 and 331,666.86

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Solution

The fourth proportional to 513,145.74, 707,679.54 and 331,666.86 is: 457,401.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,145.74 : 707,679.54 = 331,666.86 : x
  2. Step 2: Convert to fraction form
    513,145.74/707,679.54 = 331,666.86/x
  3. Step 3: Cross multiply
    513,145.74x = 707,679.54 × 331,666.86
  4. Step 4: Simplify right side
    513,145.74x = 234,713,850,918.04
  5. Step 5: Solve for x
    x = 234,713,850,918.04/513,145.74
  6. Step 6: Final answer
    x = 457,401.93

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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.