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Finding the Fourth Proportional to 353,065.38, 487,118.25 and 219,007.14

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Solution

The fourth proportional to 353,065.38, 487,118.25 and 219,007.14 is: 302,160.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,065.38 : 487,118.25 = 219,007.14 : x
  2. Step 2: Convert to fraction form
    353,065.38/487,118.25 = 219,007.14/x
  3. Step 3: Cross multiply
    353,065.38x = 487,118.25 × 219,007.14
  4. Step 4: Simplify right side
    353,065.38x = 106,682,374,774.31
  5. Step 5: Solve for x
    x = 106,682,374,774.31/353,065.38
  6. Step 6: Final answer
    x = 302,160.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.