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Finding the Fourth Proportional to 395,691.66, 546,064.65 and 242,814.31

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Solution

The fourth proportional to 395,691.66, 546,064.65 and 242,814.31 is: 335,089.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,691.66 : 546,064.65 = 242,814.31 : x
  2. Step 2: Convert to fraction form
    395,691.66/546,064.65 = 242,814.31/x
  3. Step 3: Cross multiply
    395,691.66x = 546,064.65 × 242,814.31
  4. Step 4: Simplify right side
    395,691.66x = 132,592,311,205.14
  5. Step 5: Solve for x
    x = 132,592,311,205.14/395,691.66
  6. Step 6: Final answer
    x = 335,089.98

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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.