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Finding the Fourth Proportional to 333,723.80, 500,628.90 and 165,330.20

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Solution

The fourth proportional to 333,723.80, 500,628.90 and 165,330.20 is: 248,016.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,723.80 : 500,628.90 = 165,330.20 : x
  2. Step 2: Convert to fraction form
    333,723.80/500,628.90 = 165,330.20/x
  3. Step 3: Cross multiply
    333,723.80x = 500,628.90 × 165,330.20
  4. Step 4: Simplify right side
    333,723.80x = 82,769,076,162.78
  5. Step 5: Solve for x
    x = 82,769,076,162.78/333,723.80
  6. Step 6: Final answer
    x = 248,016.70

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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.