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Finding the Fourth Proportional to 382,196.62, 573,363.87 and 157,434.40

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Solution

The fourth proportional to 382,196.62, 573,363.87 and 157,434.40 is: 236,180.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,196.62 : 573,363.87 = 157,434.40 : x
  2. Step 2: Convert to fraction form
    382,196.62/573,363.87 = 157,434.40/x
  3. Step 3: Cross multiply
    382,196.62x = 573,363.87 × 157,434.40
  4. Step 4: Simplify right side
    382,196.62x = 90,267,196,855.13
  5. Step 5: Solve for x
    x = 90,267,196,855.13/382,196.62
  6. Step 6: Final answer
    x = 236,180.00

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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.