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Finding the Fourth Proportional to 295,872.40, 442,933.80 and 278,570.80

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Solution

The fourth proportional to 295,872.40, 442,933.80 and 278,570.80 is: 417,032.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,872.40 : 442,933.80 = 278,570.80 : x
  2. Step 2: Convert to fraction form
    295,872.40/442,933.80 = 278,570.80/x
  3. Step 3: Cross multiply
    295,872.40x = 442,933.80 × 278,570.80
  4. Step 4: Simplify right side
    295,872.40x = 123,388,423,013.04
  5. Step 5: Solve for x
    x = 123,388,423,013.04/295,872.40
  6. Step 6: Final answer
    x = 417,032.56

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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.