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Finding the Fourth Proportional to 411,646.64, 617,223.90 and 158,717.34

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Solution

The fourth proportional to 411,646.64, 617,223.90 and 158,717.34 is: 237,981.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,646.64 : 617,223.90 = 158,717.34 : x
  2. Step 2: Convert to fraction form
    411,646.64/617,223.90 = 158,717.34/x
  3. Step 3: Cross multiply
    411,646.64x = 617,223.90 × 158,717.34
  4. Step 4: Simplify right side
    411,646.64x = 97,964,135,592.43
  5. Step 5: Solve for x
    x = 97,964,135,592.43/411,646.64
  6. Step 6: Final answer
    x = 237,981.14

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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.