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Finding the Fourth Proportional to 468,258.12, 646,126.66 and 284,401

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Solution

The fourth proportional to 468,258.12, 646,126.66 and 284,401 is: 392,431.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,258.12 : 646,126.66 = 284,401 : x
  2. Step 2: Convert to fraction form
    468,258.12/646,126.66 = 284,401/x
  3. Step 3: Cross multiply
    468,258.12x = 646,126.66 × 284,401
  4. Step 4: Simplify right side
    468,258.12x = 183,759,068,230.66
  5. Step 5: Solve for x
    x = 183,759,068,230.66/468,258.12
  6. Step 6: Final answer
    x = 392,431.14

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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.