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Finding the Fourth Proportional to 542,848.14, 749,115.86 and 313,397.68

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Solution

The fourth proportional to 542,848.14, 749,115.86 and 313,397.68 is: 432,480.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,848.14 : 749,115.86 = 313,397.68 : x
  2. Step 2: Convert to fraction form
    542,848.14/749,115.86 = 313,397.68/x
  3. Step 3: Cross multiply
    542,848.14x = 749,115.86 × 313,397.68
  4. Step 4: Simplify right side
    542,848.14x = 234,771,172,575.21
  5. Step 5: Solve for x
    x = 234,771,172,575.21/542,848.14
  6. Step 6: Final answer
    x = 432,480.38

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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.