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Finding the Fourth Proportional to 397,324, 548,307.12 and 218,476

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Solution

The fourth proportional to 397,324, 548,307.12 and 218,476 is: 301,496.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,324 : 548,307.12 = 218,476 : x
  2. Step 2: Convert to fraction form
    397,324/548,307.12 = 218,476/x
  3. Step 3: Cross multiply
    397,324x = 548,307.12 × 218,476
  4. Step 4: Simplify right side
    397,324x = 119,791,946,349.12
  5. Step 5: Solve for x
    x = 119,791,946,349.12/397,324
  6. Step 6: Final answer
    x = 301,496.88

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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.