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Finding the Fourth Proportional to 294,691.76, 442,034.40 and 176,396.12

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Solution

The fourth proportional to 294,691.76, 442,034.40 and 176,396.12 is: 264,592.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,691.76 : 442,034.40 = 176,396.12 : x
  2. Step 2: Convert to fraction form
    294,691.76/442,034.40 = 176,396.12/x
  3. Step 3: Cross multiply
    294,691.76x = 442,034.40 × 176,396.12
  4. Step 4: Simplify right side
    294,691.76x = 77,973,153,066.53
  5. Step 5: Solve for x
    x = 77,973,153,066.53/294,691.76
  6. Step 6: Final answer
    x = 264,592.24

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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.