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Finding the Fourth Proportional to 411,642.64, 617,217.90 and 158,713.35

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Solution

The fourth proportional to 411,642.64, 617,217.90 and 158,713.35 is: 237,975.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,642.64 : 617,217.90 = 158,713.35 : x
  2. Step 2: Convert to fraction form
    411,642.64/617,217.90 = 158,713.35/x
  3. Step 3: Cross multiply
    411,642.64x = 617,217.90 × 158,713.35
  4. Step 4: Simplify right side
    411,642.64x = 97,960,720,588.97
  5. Step 5: Solve for x
    x = 97,960,720,588.97/411,642.64
  6. Step 6: Final answer
    x = 237,975.15

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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.