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Finding the Fourth Proportional to 423,648.72, 584,634.92 and 232,674.16

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Solution

The fourth proportional to 423,648.72, 584,634.92 and 232,674.16 is: 321,090.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,648.72 : 584,634.92 = 232,674.16 : x
  2. Step 2: Convert to fraction form
    423,648.72/584,634.92 = 232,674.16/x
  3. Step 3: Cross multiply
    423,648.72x = 584,634.92 × 232,674.16
  4. Step 4: Simplify right side
    423,648.72x = 136,029,438,917.67
  5. Step 5: Solve for x
    x = 136,029,438,917.67/423,648.72
  6. Step 6: Final answer
    x = 321,090.17

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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.