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Finding the Fourth Proportional to 313,135.02, 469,718.92 and 238,372.42

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Solution

The fourth proportional to 313,135.02, 469,718.92 and 238,372.42 is: 357,571.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,135.02 : 469,718.92 = 238,372.42 : x
  2. Step 2: Convert to fraction form
    313,135.02/469,718.92 = 238,372.42/x
  3. Step 3: Cross multiply
    313,135.02x = 469,718.92 × 238,372.42
  4. Step 4: Simplify right side
    313,135.02x = 111,968,035,680.19
  5. Step 5: Solve for x
    x = 111,968,035,680.19/313,135.02
  6. Step 6: Final answer
    x = 357,571.11

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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.