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Finding the Fourth Proportional to 465,279.70, 697,923.04 and 254,802.82

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Solution

The fourth proportional to 465,279.70, 697,923.04 and 254,802.82 is: 382,206.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,279.70 : 697,923.04 = 254,802.82 : x
  2. Step 2: Convert to fraction form
    465,279.70/697,923.04 = 254,802.82/x
  3. Step 3: Cross multiply
    465,279.70x = 697,923.04 × 254,802.82
  4. Step 4: Simplify right side
    465,279.70x = 177,832,758,734.97
  5. Step 5: Solve for x
    x = 177,832,758,734.97/465,279.70
  6. Step 6: Final answer
    x = 382,206.14

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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.