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Finding the Fourth Proportional to 302,882.10, 454,323.15 and 232,023.30

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Solution

The fourth proportional to 302,882.10, 454,323.15 and 232,023.30 is: 348,034.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,882.10 : 454,323.15 = 232,023.30 : x
  2. Step 2: Convert to fraction form
    302,882.10/454,323.15 = 232,023.30/x
  3. Step 3: Cross multiply
    302,882.10x = 454,323.15 × 232,023.30
  4. Step 4: Simplify right side
    302,882.10x = 105,413,556,529.40
  5. Step 5: Solve for x
    x = 105,413,556,529.40/302,882.10
  6. Step 6: Final answer
    x = 348,034.95

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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.