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Finding the Fourth Proportional to 411,806.61, 617,633.82 and 127,444.14

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Solution

The fourth proportional to 411,806.61, 617,633.82 and 127,444.14 is: 191,142.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,806.61 : 617,633.82 = 127,444.14 : x
  2. Step 2: Convert to fraction form
    411,806.61/617,633.82 = 127,444.14/x
  3. Step 3: Cross multiply
    411,806.61x = 617,633.82 × 127,444.14
  4. Step 4: Simplify right side
    411,806.61x = 78,713,811,024.81
  5. Step 5: Solve for x
    x = 78,713,811,024.81/411,806.61
  6. Step 6: Final answer
    x = 191,142.66

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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.