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Finding the Fourth Proportional to 354,877.10, 532,315.65 and 228,905.90

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Solution

The fourth proportional to 354,877.10, 532,315.65 and 228,905.90 is: 343,358.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,877.10 : 532,315.65 = 228,905.90 : x
  2. Step 2: Convert to fraction form
    354,877.10/532,315.65 = 228,905.90/x
  3. Step 3: Cross multiply
    354,877.10x = 532,315.65 × 228,905.90
  4. Step 4: Simplify right side
    354,877.10x = 121,850,192,947.34
  5. Step 5: Solve for x
    x = 121,850,192,947.34/354,877.10
  6. Step 6: Final answer
    x = 343,358.85

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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.