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Finding the Fourth Proportional to 561,648.30, 842,476.05 and 224,717.10

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Solution

The fourth proportional to 561,648.30, 842,476.05 and 224,717.10 is: 337,077.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,648.30 : 842,476.05 = 224,717.10 : x
  2. Step 2: Convert to fraction form
    561,648.30/842,476.05 = 224,717.10/x
  3. Step 3: Cross multiply
    561,648.30x = 842,476.05 × 224,717.10
  4. Step 4: Simplify right side
    561,648.30x = 189,318,774,775.46
  5. Step 5: Solve for x
    x = 189,318,774,775.46/561,648.30
  6. Step 6: Final answer
    x = 337,077.09

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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.