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Finding the Fourth Proportional to 542,134.95, 748,150.68 and 300,421.56

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Solution

The fourth proportional to 542,134.95, 748,150.68 and 300,421.56 is: 414,584.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,134.95 : 748,150.68 = 300,421.56 : x
  2. Step 2: Convert to fraction form
    542,134.95/748,150.68 = 300,421.56/x
  3. Step 3: Cross multiply
    542,134.95x = 748,150.68 × 300,421.56
  4. Step 4: Simplify right side
    542,134.95x = 224,760,592,434.59
  5. Step 5: Solve for x
    x = 224,760,592,434.59/542,134.95
  6. Step 6: Final answer
    x = 414,584.22

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1.5x scale

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.