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Finding the Fourth Proportional to 538,960.80, 808,441.20 and 164,935.20

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Solution

The fourth proportional to 538,960.80, 808,441.20 and 164,935.20 is: 247,402.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,960.80 : 808,441.20 = 164,935.20 : x
  2. Step 2: Convert to fraction form
    538,960.80/808,441.20 = 164,935.20/x
  3. Step 3: Cross multiply
    538,960.80x = 808,441.20 × 164,935.20
  4. Step 4: Simplify right side
    538,960.80x = 133,340,411,010.24
  5. Step 5: Solve for x
    x = 133,340,411,010.24/538,960.80
  6. Step 6: Final answer
    x = 247,402.80

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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.