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Finding the Fourth Proportional to 542,514.78, 748,739.70 and 356,405.40

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Solution

The fourth proportional to 542,514.78, 748,739.70 and 356,405.40 is: 491,884.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,514.78 : 748,739.70 = 356,405.40 : x
  2. Step 2: Convert to fraction form
    542,514.78/748,739.70 = 356,405.40/x
  3. Step 3: Cross multiply
    542,514.78x = 748,739.70 × 356,405.40
  4. Step 4: Simplify right side
    542,514.78x = 266,854,872,274.38
  5. Step 5: Solve for x
    x = 266,854,872,274.38/542,514.78
  6. Step 6: Final answer
    x = 491,884.98

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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.