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Finding the Fourth Proportional to 326,341.17, 489,705.89 and 176,578.47

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Solution

The fourth proportional to 326,341.17, 489,705.89 and 176,578.47 is: 264,972.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,341.17 : 489,705.89 = 176,578.47 : x
  2. Step 2: Convert to fraction form
    326,341.17/489,705.89 = 176,578.47/x
  3. Step 3: Cross multiply
    326,341.17x = 489,705.89 × 176,578.47
  4. Step 4: Simplify right side
    326,341.17x = 86,471,515,923.30
  5. Step 5: Solve for x
    x = 86,471,515,923.30/326,341.17
  6. Step 6: Final answer
    x = 264,972.75

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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.