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Finding the Fourth Proportional to 434,206.31, 599,197.70 and 243,219.11

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Solution

The fourth proportional to 434,206.31, 599,197.70 and 243,219.11 is: 335,638.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,206.31 : 599,197.70 = 243,219.11 : x
  2. Step 2: Convert to fraction form
    434,206.31/599,197.70 = 243,219.11/x
  3. Step 3: Cross multiply
    434,206.31x = 599,197.70 × 243,219.11
  4. Step 4: Simplify right side
    434,206.31x = 145,736,328,920.11
  5. Step 5: Solve for x
    x = 145,736,328,920.11/434,206.31
  6. Step 6: Final answer
    x = 335,638.44

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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.