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Finding the Fourth Proportional to 577,512.64, 866,362.40 and 178,060

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Solution

The fourth proportional to 577,512.64, 866,362.40 and 178,060 is: 267,118.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,512.64 : 866,362.40 = 178,060 : x
  2. Step 2: Convert to fraction form
    577,512.64/866,362.40 = 178,060/x
  3. Step 3: Cross multiply
    577,512.64x = 866,362.40 × 178,060
  4. Step 4: Simplify right side
    577,512.64x = 154,264,488,944
  5. Step 5: Solve for x
    x = 154,264,488,944/577,512.64
  6. Step 6: Final answer
    x = 267,118.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.