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Finding the Fourth Proportional to 353,454.80, 529,793.40 and 153,741.20

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Solution

The fourth proportional to 353,454.80, 529,793.40 and 153,741.20 is: 230,442.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,454.80 : 529,793.40 = 153,741.20 : x
  2. Step 2: Convert to fraction form
    353,454.80/529,793.40 = 153,741.20/x
  3. Step 3: Cross multiply
    353,454.80x = 529,793.40 × 153,741.20
  4. Step 4: Simplify right side
    353,454.80x = 81,451,073,068.08
  5. Step 5: Solve for x
    x = 81,451,073,068.08/353,454.80
  6. Step 6: Final answer
    x = 230,442.68

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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.