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Finding the Fourth Proportional to 315,206.84, 434,997.64 and 179,253.20

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Solution

The fourth proportional to 315,206.84, 434,997.64 and 179,253.20 is: 247,376.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,206.84 : 434,997.64 = 179,253.20 : x
  2. Step 2: Convert to fraction form
    315,206.84/434,997.64 = 179,253.20/x
  3. Step 3: Cross multiply
    315,206.84x = 434,997.64 × 179,253.20
  4. Step 4: Simplify right side
    315,206.84x = 77,974,720,274.01
  5. Step 5: Solve for x
    x = 77,974,720,274.01/315,206.84
  6. Step 6: Final answer
    x = 247,376.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.