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Finding the Fourth Proportional to 233,465.60, 350,198.40 and 205,909.40

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Solution

The fourth proportional to 233,465.60, 350,198.40 and 205,909.40 is: 308,864.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,465.60 : 350,198.40 = 205,909.40 : x
  2. Step 2: Convert to fraction form
    233,465.60/350,198.40 = 205,909.40/x
  3. Step 3: Cross multiply
    233,465.60x = 350,198.40 × 205,909.40
  4. Step 4: Simplify right side
    233,465.60x = 72,109,142,424.96
  5. Step 5: Solve for x
    x = 72,109,142,424.96/233,465.60
  6. Step 6: Final answer
    x = 308,864.10

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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.