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Finding the Fourth Proportional to 233,219.40, 349,829.10 and 186,563.40

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Solution

The fourth proportional to 233,219.40, 349,829.10 and 186,563.40 is: 279,845.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,219.40 : 349,829.10 = 186,563.40 : x
  2. Step 2: Convert to fraction form
    233,219.40/349,829.10 = 186,563.40/x
  3. Step 3: Cross multiply
    233,219.40x = 349,829.10 × 186,563.40
  4. Step 4: Simplify right side
    233,219.40x = 65,265,306,314.94
  5. Step 5: Solve for x
    x = 65,265,306,314.94/233,219.40
  6. Step 6: Final answer
    x = 279,845.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.