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Finding the Fourth Proportional to 685,540.24, 945,932.88 and 430,711

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Solution

The fourth proportional to 685,540.24, 945,932.88 and 430,711 is: 594,310.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,540.24 : 945,932.88 = 430,711 : x
  2. Step 2: Convert to fraction form
    685,540.24/945,932.88 = 430,711/x
  3. Step 3: Cross multiply
    685,540.24x = 945,932.88 × 430,711
  4. Step 4: Simplify right side
    685,540.24x = 407,423,696,677.68
  5. Step 5: Solve for x
    x = 407,423,696,677.68/685,540.24
  6. Step 6: Final answer
    x = 594,310.40

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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.