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Finding the Fourth Proportional to 424,214.28, 585,419.64 and 233,229

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Solution

The fourth proportional to 424,214.28, 585,419.64 and 233,229 is: 321,858.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,214.28 : 585,419.64 = 233,229 : x
  2. Step 2: Convert to fraction form
    424,214.28/585,419.64 = 233,229/x
  3. Step 3: Cross multiply
    424,214.28x = 585,419.64 × 233,229
  4. Step 4: Simplify right side
    424,214.28x = 136,536,837,217.56
  5. Step 5: Solve for x
    x = 136,536,837,217.56/424,214.28
  6. Step 6: Final answer
    x = 321,858.18

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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.