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Finding the Fourth Proportional to 461,279.80, 692,016.90 and 194,903.20

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Solution

The fourth proportional to 461,279.80, 692,016.90 and 194,903.20 is: 292,395.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,279.80 : 692,016.90 = 194,903.20 : x
  2. Step 2: Convert to fraction form
    461,279.80/692,016.90 = 194,903.20/x
  3. Step 3: Cross multiply
    461,279.80x = 692,016.90 × 194,903.20
  4. Step 4: Simplify right side
    461,279.80x = 134,876,308,264.08
  5. Step 5: Solve for x
    x = 134,876,308,264.08/461,279.80
  6. Step 6: Final answer
    x = 292,395.87

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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.