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Finding the Fourth Proportional to 542,153.76, 748,200.96 and 300,462.72

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Solution

The fourth proportional to 542,153.76, 748,200.96 and 300,462.72 is: 414,654.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,153.76 : 748,200.96 = 300,462.72 : x
  2. Step 2: Convert to fraction form
    542,153.76/748,200.96 = 300,462.72/x
  3. Step 3: Cross multiply
    542,153.76x = 748,200.96 × 300,462.72
  4. Step 4: Simplify right side
    542,153.76x = 224,806,495,548.21
  5. Step 5: Solve for x
    x = 224,806,495,548.21/542,153.76
  6. Step 6: Final answer
    x = 414,654.50

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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.