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Finding the Fourth Proportional to 542,019.34, 812,898.33 and 226,305.10

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Solution

The fourth proportional to 542,019.34, 812,898.33 and 226,305.10 is: 339,403.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,019.34 : 812,898.33 = 226,305.10 : x
  2. Step 2: Convert to fraction form
    542,019.34/812,898.33 = 226,305.10/x
  3. Step 3: Cross multiply
    542,019.34x = 812,898.33 × 226,305.10
  4. Step 4: Simplify right side
    542,019.34x = 183,963,037,860.48
  5. Step 5: Solve for x
    x = 183,963,037,860.48/542,019.34
  6. Step 6: Final answer
    x = 339,403.09

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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.