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Finding the Fourth Proportional to 542,024.34, 812,905.82 and 226,310.10

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Solution

The fourth proportional to 542,024.34, 812,905.82 and 226,310.10 is: 339,410.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,024.34 : 812,905.82 = 226,310.10 : x
  2. Step 2: Convert to fraction form
    542,024.34/812,905.82 = 226,310.10/x
  3. Step 3: Cross multiply
    542,024.34x = 812,905.82 × 226,310.10
  4. Step 4: Simplify right side
    542,024.34x = 183,968,797,414.78
  5. Step 5: Solve for x
    x = 183,968,797,414.78/542,024.34
  6. Step 6: Final answer
    x = 339,410.58

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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.