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Finding the Fourth Proportional to 377,328.75, 565,993.17 and 96,846

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Solution

The fourth proportional to 377,328.75, 565,993.17 and 96,846 is: 145,269.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,328.75 : 565,993.17 = 96,846 : x
  2. Step 2: Convert to fraction form
    377,328.75/565,993.17 = 96,846/x
  3. Step 3: Cross multiply
    377,328.75x = 565,993.17 × 96,846
  4. Step 4: Simplify right side
    377,328.75x = 54,814,174,541.82
  5. Step 5: Solve for x
    x = 54,814,174,541.82/377,328.75
  6. Step 6: Final answer
    x = 145,269.01

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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.