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Finding the Fourth Proportional to 521,878.04, 783,167.52 and 189,454.04

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Solution

The fourth proportional to 521,878.04, 783,167.52 and 189,454.04 is: 284,308.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,878.04 : 783,167.52 = 189,454.04 : x
  2. Step 2: Convert to fraction form
    521,878.04/783,167.52 = 189,454.04/x
  3. Step 3: Cross multiply
    521,878.04x = 783,167.52 × 189,454.04
  4. Step 4: Simplify right side
    521,878.04x = 148,374,250,660.78
  5. Step 5: Solve for x
    x = 148,374,250,660.78/521,878.04
  6. Step 6: Final answer
    x = 284,308.29

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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.