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Finding the Fourth Proportional to 375,291.92, 517,774.32 and 214,031.04

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Solution

The fourth proportional to 375,291.92, 517,774.32 and 214,031.04 is: 295,289.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,291.92 : 517,774.32 = 214,031.04 : x
  2. Step 2: Convert to fraction form
    375,291.92/517,774.32 = 214,031.04/x
  3. Step 3: Cross multiply
    375,291.92x = 517,774.32 × 214,031.04
  4. Step 4: Simplify right side
    375,291.92x = 110,819,776,194.89
  5. Step 5: Solve for x
    x = 110,819,776,194.89/375,291.92
  6. Step 6: Final answer
    x = 295,289.54

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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.