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Finding the Fourth Proportional to 354,051.20, 532,113.60 and 347,830.40

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Solution

The fourth proportional to 354,051.20, 532,113.60 and 347,830.40 is: 522,764.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,051.20 : 532,113.60 = 347,830.40 : x
  2. Step 2: Convert to fraction form
    354,051.20/532,113.60 = 347,830.40/x
  3. Step 3: Cross multiply
    354,051.20x = 532,113.60 × 347,830.40
  4. Step 4: Simplify right side
    354,051.20x = 185,085,286,333.44
  5. Step 5: Solve for x
    x = 185,085,286,333.44/354,051.20
  6. Step 6: Final answer
    x = 522,764.18

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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.