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Finding the Fourth Proportional to 465,983.06, 697,853.57 and 265,696.23

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Solution

The fourth proportional to 465,983.06, 697,853.57 and 265,696.23 is: 397,905.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,983.06 : 697,853.57 = 265,696.23 : x
  2. Step 2: Convert to fraction form
    465,983.06/697,853.57 = 265,696.23/x
  3. Step 3: Cross multiply
    465,983.06x = 697,853.57 × 265,696.23
  4. Step 4: Simplify right side
    465,983.06x = 185,417,061,312.56
  5. Step 5: Solve for x
    x = 185,417,061,312.56/465,983.06
  6. Step 6: Final answer
    x = 397,905.16

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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.