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Finding the Fourth Proportional to 333,074.60, 499,677.42 and 96,419.24

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Solution

The fourth proportional to 333,074.60, 499,677.42 and 96,419.24 is: 144,647.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,074.60 : 499,677.42 = 96,419.24 : x
  2. Step 2: Convert to fraction form
    333,074.60/499,677.42 = 96,419.24/x
  3. Step 3: Cross multiply
    333,074.60x = 499,677.42 × 96,419.24
  4. Step 4: Simplify right side
    333,074.60x = 48,178,517,081.56
  5. Step 5: Solve for x
    x = 48,178,517,081.56/333,074.60
  6. Step 6: Final answer
    x = 144,647.83

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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.