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Finding the Fourth Proportional to 473,833.15, 711,069.56 and 185,609.05

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Solution

The fourth proportional to 473,833.15, 711,069.56 and 185,609.05 is: 278,538.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,833.15 : 711,069.56 = 185,609.05 : x
  2. Step 2: Convert to fraction form
    473,833.15/711,069.56 = 185,609.05/x
  3. Step 3: Cross multiply
    473,833.15x = 711,069.56 × 185,609.05
  4. Step 4: Simplify right side
    473,833.15x = 131,980,945,515.52
  5. Step 5: Solve for x
    x = 131,980,945,515.52/473,833.15
  6. Step 6: Final answer
    x = 278,538.86

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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.