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Finding the Fourth Proportional to 423,078.77, 583,857.83 and 232,092.16

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Solution

The fourth proportional to 423,078.77, 583,857.83 and 232,092.16 is: 320,292.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,078.77 : 583,857.83 = 232,092.16 : x
  2. Step 2: Convert to fraction form
    423,078.77/583,857.83 = 232,092.16/x
  3. Step 3: Cross multiply
    423,078.77x = 583,857.83 × 232,092.16
  4. Step 4: Simplify right side
    423,078.77x = 135,508,824,018.20
  5. Step 5: Solve for x
    x = 135,508,824,018.20/423,078.77
  6. Step 6: Final answer
    x = 320,292.18

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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.