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Finding the Fourth Proportional to 375,291.43, 517,894.76 and 214,120.46

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Solution

The fourth proportional to 375,291.43, 517,894.76 and 214,120.46 is: 295,482.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,291.43 : 517,894.76 = 214,120.46 : x
  2. Step 2: Convert to fraction form
    375,291.43/517,894.76 = 214,120.46/x
  3. Step 3: Cross multiply
    375,291.43x = 517,894.76 × 214,120.46
  4. Step 4: Simplify right side
    375,291.43x = 110,891,866,072.83
  5. Step 5: Solve for x
    x = 110,891,866,072.83/375,291.43
  6. Step 6: Final answer
    x = 295,482.01

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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.