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Finding the Fourth Proportional to 375,344.80, 517,970.48 and 214,250.88

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Solution

The fourth proportional to 375,344.80, 517,970.48 and 214,250.88 is: 295,663.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,344.80 : 517,970.48 = 214,250.88 : x
  2. Step 2: Convert to fraction form
    375,344.80/517,970.48 = 214,250.88/x
  3. Step 3: Cross multiply
    375,344.80x = 517,970.48 × 214,250.88
  4. Step 4: Simplify right side
    375,344.80x = 110,975,631,154.02
  5. Step 5: Solve for x
    x = 110,975,631,154.02/375,344.80
  6. Step 6: Final answer
    x = 295,663.16

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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.