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Finding the Fourth Proportional to 424,219.48, 585,407.82 and 233,231.48

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Solution

The fourth proportional to 424,219.48, 585,407.82 and 233,231.48 is: 321,851.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,219.48 : 585,407.82 = 233,231.48 : x
  2. Step 2: Convert to fraction form
    424,219.48/585,407.82 = 233,231.48/x
  3. Step 3: Cross multiply
    424,219.48x = 585,407.82 × 233,231.48
  4. Step 4: Simplify right side
    424,219.48x = 136,535,532,262.17
  5. Step 5: Solve for x
    x = 136,535,532,262.17/424,219.48
  6. Step 6: Final answer
    x = 321,851.16

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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.