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Finding the Fourth Proportional to 393,868, 543,534.98 and 224,111.44

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Solution

The fourth proportional to 393,868, 543,534.98 and 224,111.44 is: 309,272.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,868 : 543,534.98 = 224,111.44 : x
  2. Step 2: Convert to fraction form
    393,868/543,534.98 = 224,111.44/x
  3. Step 3: Cross multiply
    393,868x = 543,534.98 × 224,111.44
  4. Step 4: Simplify right side
    393,868x = 121,812,407,058.17
  5. Step 5: Solve for x
    x = 121,812,407,058.17/393,868
  6. Step 6: Final answer
    x = 309,272.16

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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.