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Finding the Fourth Proportional to 294,230.20, 441,345.30 and 176,265.40

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Solution

The fourth proportional to 294,230.20, 441,345.30 and 176,265.40 is: 264,398.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,230.20 : 441,345.30 = 176,265.40 : x
  2. Step 2: Convert to fraction form
    294,230.20/441,345.30 = 176,265.40/x
  3. Step 3: Cross multiply
    294,230.20x = 441,345.30 × 176,265.40
  4. Step 4: Simplify right side
    294,230.20x = 77,793,905,842.62
  5. Step 5: Solve for x
    x = 77,793,905,842.62/294,230.20
  6. Step 6: Final answer
    x = 264,398.10

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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.