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Finding the Fourth Proportional to 542,113.56, 748,406.78 and 346,077.20

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Solution

The fourth proportional to 542,113.56, 748,406.78 and 346,077.20 is: 477,771.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,113.56 : 748,406.78 = 346,077.20 : x
  2. Step 2: Convert to fraction form
    542,113.56/748,406.78 = 346,077.20/x
  3. Step 3: Cross multiply
    542,113.56x = 748,406.78 × 346,077.20
  4. Step 4: Simplify right side
    542,113.56x = 259,006,523,308.94
  5. Step 5: Solve for x
    x = 259,006,523,308.94/542,113.56
  6. Step 6: Final answer
    x = 477,771.71

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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.