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Finding the Fourth Proportional to 326,344.14, 489,656.54 and 176,691.38

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Solution

The fourth proportional to 326,344.14, 489,656.54 and 176,691.38 is: 265,113.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,344.14 : 489,656.54 = 176,691.38 : x
  2. Step 2: Convert to fraction form
    326,344.14/489,656.54 = 176,691.38/x
  3. Step 3: Cross multiply
    326,344.14x = 489,656.54 × 176,691.38
  4. Step 4: Simplify right side
    326,344.14x = 86,518,087,772.07
  5. Step 5: Solve for x
    x = 86,518,087,772.07/326,344.14
  6. Step 6: Final answer
    x = 265,113.04

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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.