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Finding the Fourth Proportional to 423,696.08, 584,705.40 and 232,713.92

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Solution

The fourth proportional to 423,696.08, 584,705.40 and 232,713.92 is: 321,147.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,696.08 : 584,705.40 = 232,713.92 : x
  2. Step 2: Convert to fraction form
    423,696.08/584,705.40 = 232,713.92/x
  3. Step 3: Cross multiply
    423,696.08x = 584,705.40 × 232,713.92
  4. Step 4: Simplify right side
    423,696.08x = 136,069,085,679.17
  5. Step 5: Solve for x
    x = 136,069,085,679.17/423,696.08
  6. Step 6: Final answer
    x = 321,147.85

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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.