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Finding the Fourth Proportional to 312,518.40, 431,267.13 and 176,566.38

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Solution

The fourth proportional to 312,518.40, 431,267.13 and 176,566.38 is: 243,656.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,518.40 : 431,267.13 = 176,566.38 : x
  2. Step 2: Convert to fraction form
    312,518.40/431,267.13 = 176,566.38/x
  3. Step 3: Cross multiply
    312,518.40x = 431,267.13 × 176,566.38
  4. Step 4: Simplify right side
    312,518.40x = 76,147,275,957.09
  5. Step 5: Solve for x
    x = 76,147,275,957.09/312,518.40
  6. Step 6: Final answer
    x = 243,656.94

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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.