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Finding the Fourth Proportional to 324,854.56, 448,354.65 and 188,967.30

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Solution

The fourth proportional to 324,854.56, 448,354.65 and 188,967.30 is: 260,807.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,854.56 : 448,354.65 = 188,967.30 : x
  2. Step 2: Convert to fraction form
    324,854.56/448,354.65 = 188,967.30/x
  3. Step 3: Cross multiply
    324,854.56x = 448,354.65 × 188,967.30
  4. Step 4: Simplify right side
    324,854.56x = 84,724,367,652.95
  5. Step 5: Solve for x
    x = 84,724,367,652.95/324,854.56
  6. Step 6: Final answer
    x = 260,807.08

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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.