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Finding the Fourth Proportional to 424,710.75, 586,100.92 and 233,724.14

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Solution

The fourth proportional to 424,710.75, 586,100.92 and 233,724.14 is: 322,539.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,710.75 : 586,100.92 = 233,724.14 : x
  2. Step 2: Convert to fraction form
    424,710.75/586,100.92 = 233,724.14/x
  3. Step 3: Cross multiply
    424,710.75x = 586,100.92 × 233,724.14
  4. Step 4: Simplify right side
    424,710.75x = 136,985,930,846.34
  5. Step 5: Solve for x
    x = 136,985,930,846.34/424,710.75
  6. Step 6: Final answer
    x = 322,539.36

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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.