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Finding the Fourth Proportional to 375,060.76, 517,584.42 and 205,305.64

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Solution

The fourth proportional to 375,060.76, 517,584.42 and 205,305.64 is: 283,322.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,060.76 : 517,584.42 = 205,305.64 : x
  2. Step 2: Convert to fraction form
    375,060.76/517,584.42 = 205,305.64/x
  3. Step 3: Cross multiply
    375,060.76x = 517,584.42 × 205,305.64
  4. Step 4: Simplify right side
    375,060.76x = 106,263,000,602.13
  5. Step 5: Solve for x
    x = 106,263,000,602.13/375,060.76
  6. Step 6: Final answer
    x = 283,322.10

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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.