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Finding the Fourth Proportional to 296,500.50, 409,165.77 and 160,533.36

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Solution

The fourth proportional to 296,500.50, 409,165.77 and 160,533.36 is: 221,533.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,500.50 : 409,165.77 = 160,533.36 : x
  2. Step 2: Convert to fraction form
    296,500.50/409,165.77 = 160,533.36/x
  3. Step 3: Cross multiply
    296,500.50x = 409,165.77 × 160,533.36
  4. Step 4: Simplify right side
    296,500.50x = 65,684,755,855.09
  5. Step 5: Solve for x
    x = 65,684,755,855.09/296,500.50
  6. Step 6: Final answer
    x = 221,533.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.