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Finding the Fourth Proportional to 424,218.98, 585,407.13 and 233,230.98

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Solution

The fourth proportional to 424,218.98, 585,407.13 and 233,230.98 is: 321,850.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,218.98 : 585,407.13 = 233,230.98 : x
  2. Step 2: Convert to fraction form
    424,218.98/585,407.13 = 233,230.98/x
  3. Step 3: Cross multiply
    424,218.98x = 585,407.13 × 233,230.98
  4. Step 4: Simplify right side
    424,218.98x = 136,535,078,628.89
  5. Step 5: Solve for x
    x = 136,535,078,628.89/424,218.98
  6. Step 6: Final answer
    x = 321,850.47

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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.