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Finding the Fourth Proportional to 362,243.30, 542,846.55 and 266,728.10

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Solution

The fourth proportional to 362,243.30, 542,846.55 and 266,728.10 is: 399,710.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,243.30 : 542,846.55 = 266,728.10 : x
  2. Step 2: Convert to fraction form
    362,243.30/542,846.55 = 266,728.10/x
  3. Step 3: Cross multiply
    362,243.30x = 542,846.55 × 266,728.10
  4. Step 4: Simplify right side
    362,243.30x = 144,792,428,873.06
  5. Step 5: Solve for x
    x = 144,792,428,873.06/362,243.30
  6. Step 6: Final answer
    x = 399,710.44

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Why These Related Problems?

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