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Finding the Fourth Proportional to 423,823.92, 584,887.32 and 232,849.68

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Solution

The fourth proportional to 423,823.92, 584,887.32 and 232,849.68 is: 321,338.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,823.92 : 584,887.32 = 232,849.68 : x
  2. Step 2: Convert to fraction form
    423,823.92/584,887.32 = 232,849.68/x
  3. Step 3: Cross multiply
    423,823.92x = 584,887.32 × 232,849.68
  4. Step 4: Simplify right side
    423,823.92x = 136,190,825,298.06
  5. Step 5: Solve for x
    x = 136,190,825,298.06/423,823.92
  6. Step 6: Final answer
    x = 321,338.22

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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.