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Finding the Fourth Proportional to 423,648.06, 584,633.62 and 232,661.45

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Solution

The fourth proportional to 423,648.06, 584,633.62 and 232,661.45 is: 321,072.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,648.06 : 584,633.62 = 232,661.45 : x
  2. Step 2: Convert to fraction form
    423,648.06/584,633.62 = 232,661.45/x
  3. Step 3: Cross multiply
    423,648.06x = 584,633.62 × 232,661.45
  4. Step 4: Simplify right side
    423,648.06x = 136,021,705,747.95
  5. Step 5: Solve for x
    x = 136,021,705,747.95/423,648.06
  6. Step 6: Final answer
    x = 321,072.42

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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.