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Finding the Fourth Proportional to 313,699.46, 469,317.42 and 242,081.01

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Solution

The fourth proportional to 313,699.46, 469,317.42 and 242,081.01 is: 362,170.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,699.46 : 469,317.42 = 242,081.01 : x
  2. Step 2: Convert to fraction form
    313,699.46/469,317.42 = 242,081.01/x
  3. Step 3: Cross multiply
    313,699.46x = 469,317.42 × 242,081.01
  4. Step 4: Simplify right side
    313,699.46x = 113,612,835,044.19
  5. Step 5: Solve for x
    x = 113,612,835,044.19/313,699.46
  6. Step 6: Final answer
    x = 362,170.97

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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.