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Finding the Fourth Proportional to 411,706.75, 617,086.20 and 158,875.43

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Solution

The fourth proportional to 411,706.75, 617,086.20 and 158,875.43 is: 238,130.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,706.75 : 617,086.20 = 158,875.43 : x
  2. Step 2: Convert to fraction form
    411,706.75/617,086.20 = 158,875.43/x
  3. Step 3: Cross multiply
    411,706.75x = 617,086.20 × 158,875.43
  4. Step 4: Simplify right side
    411,706.75x = 98,039,831,988.74
  5. Step 5: Solve for x
    x = 98,039,831,988.74/411,706.75
  6. Step 6: Final answer
    x = 238,130.25

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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.