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Finding the Fourth Proportional to 542,077.32, 812,969.10 and 226,468.20

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Solution

The fourth proportional to 542,077.32, 812,969.10 and 226,468.20 is: 339,640.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,077.32 : 812,969.10 = 226,468.20 : x
  2. Step 2: Convert to fraction form
    542,077.32/812,969.10 = 226,468.20/x
  3. Step 3: Cross multiply
    542,077.32x = 812,969.10 × 226,468.20
  4. Step 4: Simplify right side
    542,077.32x = 184,111,648,732.62
  5. Step 5: Solve for x
    x = 184,111,648,732.62/542,077.32
  6. Step 6: Final answer
    x = 339,640.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.