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Finding the Fourth Proportional to 577,838.60, 866,822.70 and 178,476.20

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Solution

The fourth proportional to 577,838.60, 866,822.70 and 178,476.20 is: 267,734.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,838.60 : 866,822.70 = 178,476.20 : x
  2. Step 2: Convert to fraction form
    577,838.60/866,822.70 = 178,476.20/x
  3. Step 3: Cross multiply
    577,838.60x = 866,822.70 × 178,476.20
  4. Step 4: Simplify right side
    577,838.60x = 154,707,221,569.74
  5. Step 5: Solve for x
    x = 154,707,221,569.74/577,838.60
  6. Step 6: Final answer
    x = 267,734.31

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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.