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Finding the Fourth Proportional to 511,250.34, 706,199.34 and 381,964.13

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Solution

The fourth proportional to 511,250.34, 706,199.34 and 381,964.13 is: 527,613.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,250.34 : 706,199.34 = 381,964.13 : x
  2. Step 2: Convert to fraction form
    511,250.34/706,199.34 = 381,964.13/x
  3. Step 3: Cross multiply
    511,250.34x = 706,199.34 × 381,964.13
  4. Step 4: Simplify right side
    511,250.34x = 269,742,816,509.67
  5. Step 5: Solve for x
    x = 269,742,816,509.67/511,250.34
  6. Step 6: Final answer
    x = 527,613.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.