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Finding the Fourth Proportional to 398,894.72, 598,337.50 and 114,592.24

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Solution

The fourth proportional to 398,894.72, 598,337.50 and 114,592.24 is: 171,887.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,894.72 : 598,337.50 = 114,592.24 : x
  2. Step 2: Convert to fraction form
    398,894.72/598,337.50 = 114,592.24/x
  3. Step 3: Cross multiply
    398,894.72x = 598,337.50 × 114,592.24
  4. Step 4: Simplify right side
    398,894.72x = 68,564,834,401
  5. Step 5: Solve for x
    x = 68,564,834,401/398,894.72
  6. Step 6: Final answer
    x = 171,887.04

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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.