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Finding the Fourth Proportional to 405,854.38, 560,031.06 and 224,542.36

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Solution

The fourth proportional to 405,854.38, 560,031.06 and 224,542.36 is: 309,841.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,854.38 : 560,031.06 = 224,542.36 : x
  2. Step 2: Convert to fraction form
    405,854.38/560,031.06 = 224,542.36/x
  3. Step 3: Cross multiply
    405,854.38x = 560,031.06 × 224,542.36
  4. Step 4: Simplify right side
    405,854.38x = 125,750,695,885.70
  5. Step 5: Solve for x
    x = 125,750,695,885.70/405,854.38
  6. Step 6: Final answer
    x = 309,841.91

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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.