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Finding the Fourth Proportional to 353,813.34, 487,942.40 and 232,909.91

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Solution

The fourth proportional to 353,813.34, 487,942.40 and 232,909.91 is: 321,205.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,813.34 : 487,942.40 = 232,909.91 : x
  2. Step 2: Convert to fraction form
    353,813.34/487,942.40 = 232,909.91/x
  3. Step 3: Cross multiply
    353,813.34x = 487,942.40 × 232,909.91
  4. Step 4: Simplify right side
    353,813.34x = 113,646,618,611.75
  5. Step 5: Solve for x
    x = 113,646,618,611.75/353,813.34
  6. Step 6: Final answer
    x = 321,205.01

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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.