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Finding the Fourth Proportional to 465,671.79, 698,512.01 and 185,260.59

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Solution

The fourth proportional to 465,671.79, 698,512.01 and 185,260.59 is: 277,892.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,671.79 : 698,512.01 = 185,260.59 : x
  2. Step 2: Convert to fraction form
    465,671.79/698,512.01 = 185,260.59/x
  3. Step 3: Cross multiply
    465,671.79x = 698,512.01 × 185,260.59
  4. Step 4: Simplify right side
    465,671.79x = 129,406,746,168.38
  5. Step 5: Solve for x
    x = 129,406,746,168.38/465,671.79
  6. Step 6: Final answer
    x = 277,892.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.