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Finding the Fourth Proportional to 464,641.21, 696,961.85 and 165,133.62

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Solution

The fourth proportional to 464,641.21, 696,961.85 and 165,133.62 is: 247,700.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,641.21 : 696,961.85 = 165,133.62 : x
  2. Step 2: Convert to fraction form
    464,641.21/696,961.85 = 165,133.62/x
  3. Step 3: Cross multiply
    464,641.21x = 696,961.85 × 165,133.62
  4. Step 4: Simplify right side
    464,641.21x = 115,091,828,981.92
  5. Step 5: Solve for x
    x = 115,091,828,981.92/464,641.21
  6. Step 6: Final answer
    x = 247,700.43

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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.