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Finding the Fourth Proportional to 307,432.14, 424,258.86 and 171,461.58

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Solution

The fourth proportional to 307,432.14, 424,258.86 and 171,461.58 is: 236,618.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,432.14 : 424,258.86 = 171,461.58 : x
  2. Step 2: Convert to fraction form
    307,432.14/424,258.86 = 171,461.58/x
  3. Step 3: Cross multiply
    307,432.14x = 424,258.86 × 171,461.58
  4. Step 4: Simplify right side
    307,432.14x = 72,744,094,464.60
  5. Step 5: Solve for x
    x = 72,744,094,464.60/307,432.14
  6. Step 6: Final answer
    x = 236,618.38

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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.