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Finding the Fourth Proportional to 465,983.64, 697,854.38 and 265,696.79

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Solution

The fourth proportional to 465,983.64, 697,854.38 and 265,696.79 is: 397,905.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,983.64 : 697,854.38 = 265,696.79 : x
  2. Step 2: Convert to fraction form
    465,983.64/697,854.38 = 265,696.79/x
  3. Step 3: Cross multiply
    465,983.64x = 697,854.38 × 265,696.79
  4. Step 4: Simplify right side
    465,983.64x = 185,417,663,835.68
  5. Step 5: Solve for x
    x = 185,417,663,835.68/465,983.64
  6. Step 6: Final answer
    x = 397,905.95

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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.