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Finding the Fourth Proportional to 475,620.40, 712,825.80 and 194,820.40

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Solution

The fourth proportional to 475,620.40, 712,825.80 and 194,820.40 is: 291,982.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,620.40 : 712,825.80 = 194,820.40 : x
  2. Step 2: Convert to fraction form
    475,620.40/712,825.80 = 194,820.40/x
  3. Step 3: Cross multiply
    475,620.40x = 712,825.80 × 194,820.40
  4. Step 4: Simplify right side
    475,620.40x = 138,873,007,486.32
  5. Step 5: Solve for x
    x = 138,873,007,486.32/475,620.40
  6. Step 6: Final answer
    x = 291,982.87

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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.