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Finding the Fourth Proportional to 308,754.34, 463,066.71 and 87,086.50

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Solution

The fourth proportional to 308,754.34, 463,066.71 and 87,086.50 is: 130,611.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,754.34 : 463,066.71 = 87,086.50 : x
  2. Step 2: Convert to fraction form
    308,754.34/463,066.71 = 87,086.50/x
  3. Step 3: Cross multiply
    308,754.34x = 463,066.71 × 87,086.50
  4. Step 4: Simplify right side
    308,754.34x = 40,326,859,040.42
  5. Step 5: Solve for x
    x = 40,326,859,040.42/308,754.34
  6. Step 6: Final answer
    x = 130,611.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.