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Finding the Fourth Proportional to 561,421.90, 842,374.13 and 182,458.79

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Solution

The fourth proportional to 561,421.90, 842,374.13 and 182,458.79 is: 273,766.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,421.90 : 842,374.13 = 182,458.79 : x
  2. Step 2: Convert to fraction form
    561,421.90/842,374.13 = 182,458.79/x
  3. Step 3: Cross multiply
    561,421.90x = 842,374.13 × 182,458.79
  4. Step 4: Simplify right side
    561,421.90x = 153,698,560,275.23
  5. Step 5: Solve for x
    x = 153,698,560,275.23/561,421.90
  6. Step 6: Final answer
    x = 273,766.59

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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.