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Finding the Fourth Proportional to 382,218.15, 573,325.20 and 97,908.15

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Solution

The fourth proportional to 382,218.15, 573,325.20 and 97,908.15 is: 146,861.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,218.15 : 573,325.20 = 97,908.15 : x
  2. Step 2: Convert to fraction form
    382,218.15/573,325.20 = 97,908.15/x
  3. Step 3: Cross multiply
    382,218.15x = 573,325.20 × 97,908.15
  4. Step 4: Simplify right side
    382,218.15x = 56,133,209,680.38
  5. Step 5: Solve for x
    x = 56,133,209,680.38/382,218.15
  6. Step 6: Final answer
    x = 146,861.71

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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.