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Finding the Fourth Proportional to 398,642.50, 597,965.91 and 103,154.50

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Solution

The fourth proportional to 398,642.50, 597,965.91 and 103,154.50 is: 154,732.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,642.50 : 597,965.91 = 103,154.50 : x
  2. Step 2: Convert to fraction form
    398,642.50/597,965.91 = 103,154.50/x
  3. Step 3: Cross multiply
    398,642.50x = 597,965.91 × 103,154.50
  4. Step 4: Simplify right side
    398,642.50x = 61,682,874,463.10
  5. Step 5: Solve for x
    x = 61,682,874,463.10/398,642.50
  6. Step 6: Final answer
    x = 154,732.31

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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.