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Finding the Fourth Proportional to 423,781, 584,817.78 and 232,797.58

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Solution

The fourth proportional to 423,781, 584,817.78 and 232,797.58 is: 321,260.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,781 : 584,817.78 = 232,797.58 : x
  2. Step 2: Convert to fraction form
    423,781/584,817.78 = 232,797.58/x
  3. Step 3: Cross multiply
    423,781x = 584,817.78 × 232,797.58
  4. Step 4: Simplify right side
    423,781x = 136,144,163,924.97
  5. Step 5: Solve for x
    x = 136,144,163,924.97/423,781
  6. Step 6: Final answer
    x = 321,260.66

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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.