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Finding the Fourth Proportional to 296,495.10, 409,163.40 and 160,529.10

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Solution

The fourth proportional to 296,495.10, 409,163.40 and 160,529.10 is: 221,530.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,495.10 : 409,163.40 = 160,529.10 : x
  2. Step 2: Convert to fraction form
    296,495.10/409,163.40 = 160,529.10/x
  3. Step 3: Cross multiply
    296,495.10x = 409,163.40 × 160,529.10
  4. Step 4: Simplify right side
    296,495.10x = 65,682,632,354.94
  5. Step 5: Solve for x
    x = 65,682,632,354.94/296,495.10
  6. Step 6: Final answer
    x = 221,530.25

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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.