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Finding the Fourth Proportional to 280,711.44, 387,391.34 and 153,395.24

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Solution

The fourth proportional to 280,711.44, 387,391.34 and 153,395.24 is: 211,690.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,711.44 : 387,391.34 = 153,395.24 : x
  2. Step 2: Convert to fraction form
    280,711.44/387,391.34 = 153,395.24/x
  3. Step 3: Cross multiply
    280,711.44x = 387,391.34 × 153,395.24
  4. Step 4: Simplify right side
    280,711.44x = 59,423,986,019.75
  5. Step 5: Solve for x
    x = 59,423,986,019.75/280,711.44
  6. Step 6: Final answer
    x = 211,690.65

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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.