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Finding the Fourth Proportional to 307,999.40, 462,344.70 and 238,188.20

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Solution

The fourth proportional to 307,999.40, 462,344.70 and 238,188.20 is: 357,549.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,999.40 : 462,344.70 = 238,188.20 : x
  2. Step 2: Convert to fraction form
    307,999.40/462,344.70 = 238,188.20/x
  3. Step 3: Cross multiply
    307,999.40x = 462,344.70 × 238,188.20
  4. Step 4: Simplify right side
    307,999.40x = 110,125,051,872.54
  5. Step 5: Solve for x
    x = 110,125,051,872.54/307,999.40
  6. Step 6: Final answer
    x = 357,549.57

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1.5x scale

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.