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Finding the Fourth Proportional to 468,270.84, 646,215.38 and 253,410.86

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Solution

The fourth proportional to 468,270.84, 646,215.38 and 253,410.86 is: 349,707.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,270.84 : 646,215.38 = 253,410.86 : x
  2. Step 2: Convert to fraction form
    468,270.84/646,215.38 = 253,410.86/x
  3. Step 3: Cross multiply
    468,270.84x = 646,215.38 × 253,410.86
  4. Step 4: Simplify right side
    468,270.84x = 163,757,990,692.90
  5. Step 5: Solve for x
    x = 163,757,990,692.90/468,270.84
  6. Step 6: Final answer
    x = 349,707.85

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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.