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Finding the Fourth Proportional to 577,449, 866,253.42 and 178,121.16

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Solution

The fourth proportional to 577,449, 866,253.42 and 178,121.16 is: 267,206.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,449 : 866,253.42 = 178,121.16 : x
  2. Step 2: Convert to fraction form
    577,449/866,253.42 = 178,121.16/x
  3. Step 3: Cross multiply
    577,449x = 866,253.42 × 178,121.16
  4. Step 4: Simplify right side
    577,449x = 154,298,064,024.37
  5. Step 5: Solve for x
    x = 154,298,064,024.37/577,449
  6. Step 6: Final answer
    x = 267,206.39

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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.