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Finding the Fourth Proportional to 464,797.98, 696,966.73 and 165,233.66

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Solution

The fourth proportional to 464,797.98, 696,966.73 and 165,233.66 is: 247,768.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,797.98 : 696,966.73 = 165,233.66 : x
  2. Step 2: Convert to fraction form
    464,797.98/696,966.73 = 165,233.66/x
  3. Step 3: Cross multiply
    464,797.98x = 696,966.73 × 165,233.66
  4. Step 4: Simplify right side
    464,797.98x = 115,162,359,798.21
  5. Step 5: Solve for x
    x = 115,162,359,798.21/464,797.98
  6. Step 6: Final answer
    x = 247,768.63

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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.