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Finding the Fourth Proportional to 542,011.44, 747,914.16 and 300,233.76

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Solution

The fourth proportional to 542,011.44, 747,914.16 and 300,233.76 is: 414,288.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,011.44 : 747,914.16 = 300,233.76 : x
  2. Step 2: Convert to fraction form
    542,011.44/747,914.16 = 300,233.76/x
  3. Step 3: Cross multiply
    542,011.44x = 747,914.16 × 300,233.76
  4. Step 4: Simplify right side
    542,011.44x = 224,549,080,414.04
  5. Step 5: Solve for x
    x = 224,549,080,414.04/542,011.44
  6. Step 6: Final answer
    x = 414,288.45

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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.