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Finding the Fourth Proportional to 294,711.70, 442,067.55 and 176,322.10

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Solution

The fourth proportional to 294,711.70, 442,067.55 and 176,322.10 is: 264,483.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,711.70 : 442,067.55 = 176,322.10 : x
  2. Step 2: Convert to fraction form
    294,711.70/442,067.55 = 176,322.10/x
  3. Step 3: Cross multiply
    294,711.70x = 442,067.55 × 176,322.10
  4. Step 4: Simplify right side
    294,711.70x = 77,946,278,757.86
  5. Step 5: Solve for x
    x = 77,946,278,757.86/294,711.70
  6. Step 6: Final answer
    x = 264,483.15

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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.