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Finding the Fourth Proportional to 296,495.64, 409,164.20 and 160,529.68

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Solution

The fourth proportional to 296,495.64, 409,164.20 and 160,529.68 is: 221,531.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,495.64 : 409,164.20 = 160,529.68 : x
  2. Step 2: Convert to fraction form
    296,495.64/409,164.20 = 160,529.68/x
  3. Step 3: Cross multiply
    296,495.64x = 409,164.20 × 160,529.68
  4. Step 4: Simplify right side
    296,495.64x = 65,682,998,093.46
  5. Step 5: Solve for x
    x = 65,682,998,093.46/296,495.64
  6. Step 6: Final answer
    x = 221,531.08

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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.