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Finding the Fourth Proportional to 465,332.12, 697,970.46 and 165,796.82

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Solution

The fourth proportional to 465,332.12, 697,970.46 and 165,796.82 is: 248,685.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,332.12 : 697,970.46 = 165,796.82 : x
  2. Step 2: Convert to fraction form
    465,332.12/697,970.46 = 165,796.82/x
  3. Step 3: Cross multiply
    465,332.12x = 697,970.46 × 165,796.82
  4. Step 4: Simplify right side
    465,332.12x = 115,721,282,721.94
  5. Step 5: Solve for x
    x = 115,721,282,721.94/465,332.12
  6. Step 6: Final answer
    x = 248,685.35

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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.