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Finding the Fourth Proportional to 284,540.70, 426,835.35 and 97,552.20

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Solution

The fourth proportional to 284,540.70, 426,835.35 and 97,552.20 is: 146,336.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,540.70 : 426,835.35 = 97,552.20 : x
  2. Step 2: Convert to fraction form
    284,540.70/426,835.35 = 97,552.20/x
  3. Step 3: Cross multiply
    284,540.70x = 426,835.35 × 97,552.20
  4. Step 4: Simplify right side
    284,540.70x = 41,638,727,430.27
  5. Step 5: Solve for x
    x = 41,638,727,430.27/284,540.70
  6. Step 6: Final answer
    x = 146,336.63

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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.