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Finding the Fourth Proportional to 702,431, 968,696.81 and 466,267.12

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Solution

The fourth proportional to 702,431, 968,696.81 and 466,267.12 is: 643,011.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,431 : 968,696.81 = 466,267.12 : x
  2. Step 2: Convert to fraction form
    702,431/968,696.81 = 466,267.12/x
  3. Step 3: Cross multiply
    702,431x = 968,696.81 × 466,267.12
  4. Step 4: Simplify right side
    702,431x = 451,671,469,420.55
  5. Step 5: Solve for x
    x = 451,671,469,420.55/702,431
  6. Step 6: Final answer
    x = 643,011.87

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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.