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Finding the Fourth Proportional to 340,288.50, 510,393.84 and 90,989.94

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Solution

The fourth proportional to 340,288.50, 510,393.84 and 90,989.94 is: 136,474.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,288.50 : 510,393.84 = 90,989.94 : x
  2. Step 2: Convert to fraction form
    340,288.50/510,393.84 = 90,989.94/x
  3. Step 3: Cross multiply
    340,288.50x = 510,393.84 × 90,989.94
  4. Step 4: Simplify right side
    340,288.50x = 46,440,704,877.97
  5. Step 5: Solve for x
    x = 46,440,704,877.97/340,288.50
  6. Step 6: Final answer
    x = 136,474.51

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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.