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Finding the Fourth Proportional to 465,315.38, 697,976.70 and 254,838.50

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Solution

The fourth proportional to 465,315.38, 697,976.70 and 254,838.50 is: 382,259.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,315.38 : 697,976.70 = 254,838.50 : x
  2. Step 2: Convert to fraction form
    465,315.38/697,976.70 = 254,838.50/x
  3. Step 3: Cross multiply
    465,315.38x = 697,976.70 × 254,838.50
  4. Step 4: Simplify right side
    465,315.38x = 177,871,335,262.95
  5. Step 5: Solve for x
    x = 177,871,335,262.95/465,315.38
  6. Step 6: Final answer
    x = 382,259.74

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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.