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Finding the Fourth Proportional to 423,222.66, 584,054.42 and 232,253.82

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Solution

The fourth proportional to 423,222.66, 584,054.42 and 232,253.82 is: 320,514.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,222.66 : 584,054.42 = 232,253.82 : x
  2. Step 2: Convert to fraction form
    423,222.66/584,054.42 = 232,253.82/x
  3. Step 3: Cross multiply
    423,222.66x = 584,054.42 × 232,253.82
  4. Step 4: Simplify right side
    423,222.66x = 135,648,868,971.62
  5. Step 5: Solve for x
    x = 135,648,868,971.62/423,222.66
  6. Step 6: Final answer
    x = 320,514.19

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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.