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Finding the Fourth Proportional to 542,966.08, 749,293.29 and 301,248.08

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Solution

The fourth proportional to 542,966.08, 749,293.29 and 301,248.08 is: 415,722.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,966.08 : 749,293.29 = 301,248.08 : x
  2. Step 2: Convert to fraction form
    542,966.08/749,293.29 = 301,248.08/x
  3. Step 3: Cross multiply
    542,966.08x = 749,293.29 × 301,248.08
  4. Step 4: Simplify right side
    542,966.08x = 225,723,164,969.38
  5. Step 5: Solve for x
    x = 225,723,164,969.38/542,966.08
  6. Step 6: Final answer
    x = 415,722.41

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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.