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Finding the Fourth Proportional to 375,094.64, 517,632 and 205,344.56

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Solution

The fourth proportional to 375,094.64, 517,632 and 205,344.56 is: 283,376.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,094.64 : 517,632 = 205,344.56 : x
  2. Step 2: Convert to fraction form
    375,094.64/517,632 = 205,344.56/x
  3. Step 3: Cross multiply
    375,094.64x = 517,632 × 205,344.56
  4. Step 4: Simplify right side
    375,094.64x = 106,292,915,281.92
  5. Step 5: Solve for x
    x = 106,292,915,281.92/375,094.64
  6. Step 6: Final answer
    x = 283,376.26

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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.