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Finding the Fourth Proportional to 320,095.38, 441,740.53 and 176,864.65

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Solution

The fourth proportional to 320,095.38, 441,740.53 and 176,864.65 is: 244,078.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,095.38 : 441,740.53 = 176,864.65 : x
  2. Step 2: Convert to fraction form
    320,095.38/441,740.53 = 176,864.65/x
  3. Step 3: Cross multiply
    320,095.38x = 441,740.53 × 176,864.65
  4. Step 4: Simplify right side
    320,095.38x = 78,128,285,002.52
  5. Step 5: Solve for x
    x = 78,128,285,002.52/320,095.38
  6. Step 6: Final answer
    x = 244,078.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.