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Finding the Fourth Proportional to 433,502.60, 650,440.71 and 180,832.84

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Solution

The fourth proportional to 433,502.60, 650,440.71 and 180,832.84 is: 271,327.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,502.60 : 650,440.71 = 180,832.84 : x
  2. Step 2: Convert to fraction form
    433,502.60/650,440.71 = 180,832.84/x
  3. Step 3: Cross multiply
    433,502.60x = 650,440.71 × 180,832.84
  4. Step 4: Simplify right side
    433,502.60x = 117,621,039,214.82
  5. Step 5: Solve for x
    x = 117,621,039,214.82/433,502.60
  6. Step 6: Final answer
    x = 271,327.19

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1.5x scale

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.