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Finding the Fourth Proportional to 375,292.92, 517,775.70 and 214,032.04

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Solution

The fourth proportional to 375,292.92, 517,775.70 and 214,032.04 is: 295,290.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,292.92 : 517,775.70 = 214,032.04 : x
  2. Step 2: Convert to fraction form
    375,292.92/517,775.70 = 214,032.04/x
  3. Step 3: Cross multiply
    375,292.92x = 517,775.70 × 214,032.04
  4. Step 4: Simplify right side
    375,292.92x = 110,820,589,333.43
  5. Step 5: Solve for x
    x = 110,820,589,333.43/375,292.92
  6. Step 6: Final answer
    x = 295,290.91

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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.