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Finding the Fourth Proportional to 296,555.32, 409,275.61 and 169,249.96

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Solution

The fourth proportional to 296,555.32, 409,275.61 and 169,249.96 is: 233,581.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,555.32 : 409,275.61 = 169,249.96 : x
  2. Step 2: Convert to fraction form
    296,555.32/409,275.61 = 169,249.96/x
  3. Step 3: Cross multiply
    296,555.32x = 409,275.61 × 169,249.96
  4. Step 4: Simplify right side
    296,555.32x = 69,269,878,151.97
  5. Step 5: Solve for x
    x = 69,269,878,151.97/296,555.32
  6. Step 6: Final answer
    x = 233,581.64

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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.