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Finding the Fourth Proportional to 577,830.20, 866,837.64 and 178,377.08

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Solution

The fourth proportional to 577,830.20, 866,837.64 and 178,377.08 is: 267,594.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,830.20 : 866,837.64 = 178,377.08 : x
  2. Step 2: Convert to fraction form
    577,830.20/866,837.64 = 178,377.08/x
  3. Step 3: Cross multiply
    577,830.20x = 866,837.64 × 178,377.08
  4. Step 4: Simplify right side
    577,830.20x = 154,623,967,057.29
  5. Step 5: Solve for x
    x = 154,623,967,057.29/577,830.20
  6. Step 6: Final answer
    x = 267,594.13

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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.