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Finding the Fourth Proportional to 405,926.30, 560,164.46 and 224,645.88

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Solution

The fourth proportional to 405,926.30, 560,164.46 and 224,645.88 is: 310,003.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,926.30 : 560,164.46 = 224,645.88 : x
  2. Step 2: Convert to fraction form
    405,926.30/560,164.46 = 224,645.88/x
  3. Step 3: Cross multiply
    405,926.30x = 560,164.46 × 224,645.88
  4. Step 4: Simplify right side
    405,926.30x = 125,838,638,061.43
  5. Step 5: Solve for x
    x = 125,838,638,061.43/405,926.30
  6. Step 6: Final answer
    x = 310,003.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.