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Finding the Fourth Proportional to 333,047.78, 499,633.31 and 105,400.70

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Solution

The fourth proportional to 333,047.78, 499,633.31 and 105,400.70 is: 158,120.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,047.78 : 499,633.31 = 105,400.70 : x
  2. Step 2: Convert to fraction form
    333,047.78/499,633.31 = 105,400.70/x
  3. Step 3: Cross multiply
    333,047.78x = 499,633.31 × 105,400.70
  4. Step 4: Simplify right side
    333,047.78x = 52,661,700,617.32
  5. Step 5: Solve for x
    x = 52,661,700,617.32/333,047.78
  6. Step 6: Final answer
    x = 158,120.56

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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.