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Finding the Fourth Proportional to 523,616.94, 785,409.78 and 144,560.82

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Solution

The fourth proportional to 523,616.94, 785,409.78 and 144,560.82 is: 216,836.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,616.94 : 785,409.78 = 144,560.82 : x
  2. Step 2: Convert to fraction form
    523,616.94/785,409.78 = 144,560.82/x
  3. Step 3: Cross multiply
    523,616.94x = 785,409.78 × 144,560.82
  4. Step 4: Simplify right side
    523,616.94x = 113,539,481,832.82
  5. Step 5: Solve for x
    x = 113,539,481,832.82/523,616.94
  6. Step 6: Final answer
    x = 216,836.91

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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.