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Finding the Fourth Proportional to 468,296.40, 646,249 and 253,436.46

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Solution

The fourth proportional to 468,296.40, 646,249 and 253,436.46 is: 349,742.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,296.40 : 646,249 = 253,436.46 : x
  2. Step 2: Convert to fraction form
    468,296.40/646,249 = 253,436.46/x
  3. Step 3: Cross multiply
    468,296.40x = 646,249 × 253,436.46
  4. Step 4: Simplify right side
    468,296.40x = 163,783,058,838.54
  5. Step 5: Solve for x
    x = 163,783,058,838.54/468,296.40
  6. Step 6: Final answer
    x = 349,742.30

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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.