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Finding the Fourth Proportional to 260,784.90, 391,177.35 and 142,391.65

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Solution

The fourth proportional to 260,784.90, 391,177.35 and 142,391.65 is: 213,587.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,784.90 : 391,177.35 = 142,391.65 : x
  2. Step 2: Convert to fraction form
    260,784.90/391,177.35 = 142,391.65/x
  3. Step 3: Cross multiply
    260,784.90x = 391,177.35 × 142,391.65
  4. Step 4: Simplify right side
    260,784.90x = 55,700,388,309.13
  5. Step 5: Solve for x
    x = 55,700,388,309.13/260,784.90
  6. Step 6: Final answer
    x = 213,587.48

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1.5x scale

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.