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Finding the Fourth Proportional to 561,644.55, 842,470.43 and 224,713.35

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Solution

The fourth proportional to 561,644.55, 842,470.43 and 224,713.35 is: 337,071.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,644.55 : 842,470.43 = 224,713.35 : x
  2. Step 2: Convert to fraction form
    561,644.55/842,470.43 = 224,713.35/x
  3. Step 3: Cross multiply
    561,644.55x = 842,470.43 × 224,713.35
  4. Step 4: Simplify right side
    561,644.55x = 189,314,351,477.67
  5. Step 5: Solve for x
    x = 189,314,351,477.67/561,644.55
  6. Step 6: Final answer
    x = 337,071.47

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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.