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Finding the Fourth Proportional to 314,761.52, 434,357.24 and 178,795.04

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Solution

The fourth proportional to 314,761.52, 434,357.24 and 178,795.04 is: 246,729.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,761.52 : 434,357.24 = 178,795.04 : x
  2. Step 2: Convert to fraction form
    314,761.52/434,357.24 = 178,795.04/x
  3. Step 3: Cross multiply
    314,761.52x = 434,357.24 × 178,795.04
  4. Step 4: Simplify right side
    314,761.52x = 77,660,920,100.09
  5. Step 5: Solve for x
    x = 77,660,920,100.09/314,761.52
  6. Step 6: Final answer
    x = 246,729.40

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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.