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Finding the Fourth Proportional to 411,487.53, 617,168.94 and 111,991.45

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Solution

The fourth proportional to 411,487.53, 617,168.94 and 111,991.45 is: 167,970.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,487.53 : 617,168.94 = 111,991.45 : x
  2. Step 2: Convert to fraction form
    411,487.53/617,168.94 = 111,991.45/x
  3. Step 3: Cross multiply
    411,487.53x = 617,168.94 × 111,991.45
  4. Step 4: Simplify right side
    411,487.53x = 69,117,643,925.61
  5. Step 5: Solve for x
    x = 69,117,643,925.61/411,487.53
  6. Step 6: Final answer
    x = 167,970.20

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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.