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Finding the Fourth Proportional to 453,826.40, 680,666.70 and 138,209.90

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Solution

The fourth proportional to 453,826.40, 680,666.70 and 138,209.90 is: 207,292.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,826.40 : 680,666.70 = 138,209.90 : x
  2. Step 2: Convert to fraction form
    453,826.40/680,666.70 = 138,209.90/x
  3. Step 3: Cross multiply
    453,826.40x = 680,666.70 × 138,209.90
  4. Step 4: Simplify right side
    453,826.40x = 94,074,876,540.33
  5. Step 5: Solve for x
    x = 94,074,876,540.33/453,826.40
  6. Step 6: Final answer
    x = 207,292.65

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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.