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Finding the Fourth Proportional to 411,616.62, 617,498.37 and 145,531.62

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Solution

The fourth proportional to 411,616.62, 617,498.37 and 145,531.62 is: 218,323.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,616.62 : 617,498.37 = 145,531.62 : x
  2. Step 2: Convert to fraction form
    411,616.62/617,498.37 = 145,531.62/x
  3. Step 3: Cross multiply
    411,616.62x = 617,498.37 × 145,531.62
  4. Step 4: Simplify right side
    411,616.62x = 89,865,538,133.46
  5. Step 5: Solve for x
    x = 89,865,538,133.46/411,616.62
  6. Step 6: Final answer
    x = 218,323.40

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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.