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Finding the Fourth Proportional to 398,633.50, 597,952.42 and 103,145.50

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Solution

The fourth proportional to 398,633.50, 597,952.42 and 103,145.50 is: 154,718.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,633.50 : 597,952.42 = 103,145.50 : x
  2. Step 2: Convert to fraction form
    398,633.50/597,952.42 = 103,145.50/x
  3. Step 3: Cross multiply
    398,633.50x = 597,952.42 × 103,145.50
  4. Step 4: Simplify right side
    398,633.50x = 61,676,101,337.11
  5. Step 5: Solve for x
    x = 61,676,101,337.11/398,633.50
  6. Step 6: Final answer
    x = 154,718.81

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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.