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Finding the Fourth Proportional to 465,993.14, 697,868.58 and 265,706.34

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Solution

The fourth proportional to 465,993.14, 697,868.58 and 265,706.34 is: 397,920.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,993.14 : 697,868.58 = 265,706.34 : x
  2. Step 2: Convert to fraction form
    465,993.14/697,868.58 = 265,706.34/x
  3. Step 3: Cross multiply
    465,993.14x = 697,868.58 × 265,706.34
  4. Step 4: Simplify right side
    465,993.14x = 185,428,106,192.80
  5. Step 5: Solve for x
    x = 185,428,106,192.80/465,993.14
  6. Step 6: Final answer
    x = 397,920.25

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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.