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Finding the Fourth Proportional to 423,678.70, 584,705.25 and 232,694.07

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Solution

The fourth proportional to 423,678.70, 584,705.25 and 232,694.07 is: 321,133.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,678.70 : 584,705.25 = 232,694.07 : x
  2. Step 2: Convert to fraction form
    423,678.70/584,705.25 = 232,694.07/x
  3. Step 3: Cross multiply
    423,678.70x = 584,705.25 × 232,694.07
  4. Step 4: Simplify right side
    423,678.70x = 136,057,442,180.22
  5. Step 5: Solve for x
    x = 136,057,442,180.22/423,678.70
  6. Step 6: Final answer
    x = 321,133.54

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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.