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Finding the Fourth Proportional to 473,956.38, 710,934.44 and 189,774.90

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Solution

The fourth proportional to 473,956.38, 710,934.44 and 189,774.90 is: 284,662.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,956.38 : 710,934.44 = 189,774.90 : x
  2. Step 2: Convert to fraction form
    473,956.38/710,934.44 = 189,774.90/x
  3. Step 3: Cross multiply
    473,956.38x = 710,934.44 × 189,774.90
  4. Step 4: Simplify right side
    473,956.38x = 134,917,511,308.68
  5. Step 5: Solve for x
    x = 134,917,511,308.68/473,956.38
  6. Step 6: Final answer
    x = 284,662.30

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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.