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Finding the Fourth Proportional to 354,811.10, 532,216.65 and 228,839.90

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Solution

The fourth proportional to 354,811.10, 532,216.65 and 228,839.90 is: 343,259.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,811.10 : 532,216.65 = 228,839.90 : x
  2. Step 2: Convert to fraction form
    354,811.10/532,216.65 = 228,839.90/x
  3. Step 3: Cross multiply
    354,811.10x = 532,216.65 × 228,839.90
  4. Step 4: Simplify right side
    354,811.10x = 121,792,404,964.34
  5. Step 5: Solve for x
    x = 121,792,404,964.34/354,811.10
  6. Step 6: Final answer
    x = 343,259.85

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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.