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Finding the Fourth Proportional to 423,644.54, 584,628.78 and 232,657.93

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Solution

The fourth proportional to 423,644.54, 584,628.78 and 232,657.93 is: 321,067.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,644.54 : 584,628.78 = 232,657.93 : x
  2. Step 2: Convert to fraction form
    423,644.54/584,628.78 = 232,657.93/x
  3. Step 3: Cross multiply
    423,644.54x = 584,628.78 × 232,657.93
  4. Step 4: Simplify right side
    423,644.54x = 136,018,522,185.23
  5. Step 5: Solve for x
    x = 136,018,522,185.23/423,644.54
  6. Step 6: Final answer
    x = 321,067.57

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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.