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Finding the Fourth Proportional to 423,640.14, 584,627.43 and 232,657.50

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Solution

The fourth proportional to 423,640.14, 584,627.43 and 232,657.50 is: 321,069.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,640.14 : 584,627.43 = 232,657.50 : x
  2. Step 2: Convert to fraction form
    423,640.14/584,627.43 = 232,657.50/x
  3. Step 3: Cross multiply
    423,640.14x = 584,627.43 × 232,657.50
  4. Step 4: Simplify right side
    423,640.14x = 136,017,956,295.23
  5. Step 5: Solve for x
    x = 136,017,956,295.23/423,640.14
  6. Step 6: Final answer
    x = 321,069.57

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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.