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Finding the Fourth Proportional to 352,429.98, 486,360.63 and 199,468.16

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Solution

The fourth proportional to 352,429.98, 486,360.63 and 199,468.16 is: 275,270.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,429.98 : 486,360.63 = 199,468.16 : x
  2. Step 2: Convert to fraction form
    352,429.98/486,360.63 = 199,468.16/x
  3. Step 3: Cross multiply
    352,429.98x = 486,360.63 × 199,468.16
  4. Step 4: Simplify right side
    352,429.98x = 97,013,458,965.20
  5. Step 5: Solve for x
    x = 97,013,458,965.20/352,429.98
  6. Step 6: Final answer
    x = 275,270.17

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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.