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Finding the Fourth Proportional to 464,640.71, 696,961.10 and 165,133.12

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Solution

The fourth proportional to 464,640.71, 696,961.10 and 165,133.12 is: 247,699.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,640.71 : 696,961.10 = 165,133.12 : x
  2. Step 2: Convert to fraction form
    464,640.71/696,961.10 = 165,133.12/x
  3. Step 3: Cross multiply
    464,640.71x = 696,961.10 × 165,133.12
  4. Step 4: Simplify right side
    464,640.71x = 115,091,356,651.16
  5. Step 5: Solve for x
    x = 115,091,356,651.16/464,640.71
  6. Step 6: Final answer
    x = 247,699.68

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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.