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Finding the Fourth Proportional to 380,691.43, 571,109.16 and 153,004.74

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Solution

The fourth proportional to 380,691.43, 571,109.16 and 153,004.74 is: 229,536.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,691.43 : 571,109.16 = 153,004.74 : x
  2. Step 2: Convert to fraction form
    380,691.43/571,109.16 = 153,004.74/x
  3. Step 3: Cross multiply
    380,691.43x = 571,109.16 × 153,004.74
  4. Step 4: Simplify right side
    380,691.43x = 87,382,408,537.42
  5. Step 5: Solve for x
    x = 87,382,408,537.42/380,691.43
  6. Step 6: Final answer
    x = 229,536.05

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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.