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Finding the Fourth Proportional to 464,354.11, 696,600.38 and 164,809.61

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Solution

The fourth proportional to 464,354.11, 696,600.38 and 164,809.61 is: 247,238.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,354.11 : 696,600.38 = 164,809.61 : x
  2. Step 2: Convert to fraction form
    464,354.11/696,600.38 = 164,809.61/x
  3. Step 3: Cross multiply
    464,354.11x = 696,600.38 × 164,809.61
  4. Step 4: Simplify right side
    464,354.11x = 114,806,436,953.65
  5. Step 5: Solve for x
    x = 114,806,436,953.65/464,354.11
  6. Step 6: Final answer
    x = 247,238.98

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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.