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Finding the Fourth Proportional to 466,280.40, 699,708.60 and 185,768.40

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Solution

The fourth proportional to 466,280.40, 699,708.60 and 185,768.40 is: 278,767.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,280.40 : 699,708.60 = 185,768.40 : x
  2. Step 2: Convert to fraction form
    466,280.40/699,708.60 = 185,768.40/x
  3. Step 3: Cross multiply
    466,280.40x = 699,708.60 × 185,768.40
  4. Step 4: Simplify right side
    466,280.40x = 129,983,747,088.24
  5. Step 5: Solve for x
    x = 129,983,747,088.24/466,280.40
  6. Step 6: Final answer
    x = 278,767.34

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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.