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Finding the Fourth Proportional to 577,708.80, 866,585.76 and 178,313.92

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Solution

The fourth proportional to 577,708.80, 866,585.76 and 178,313.92 is: 267,477.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,708.80 : 866,585.76 = 178,313.92 : x
  2. Step 2: Convert to fraction form
    577,708.80/866,585.76 = 178,313.92/x
  3. Step 3: Cross multiply
    577,708.80x = 866,585.76 × 178,313.92
  4. Step 4: Simplify right side
    577,708.80x = 154,524,303,881.78
  5. Step 5: Solve for x
    x = 154,524,303,881.78/577,708.80
  6. Step 6: Final answer
    x = 267,477.84

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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.