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Finding the Fourth Proportional to 424,816.28, 586,224.16 and 233,793.16

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Solution

The fourth proportional to 424,816.28, 586,224.16 and 233,793.16 is: 322,622.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,816.28 : 586,224.16 = 233,793.16 : x
  2. Step 2: Convert to fraction form
    424,816.28/586,224.16 = 233,793.16/x
  3. Step 3: Cross multiply
    424,816.28x = 586,224.16 × 233,793.16
  4. Step 4: Simplify right side
    424,816.28x = 137,055,198,834.75
  5. Step 5: Solve for x
    x = 137,055,198,834.75/424,816.28
  6. Step 6: Final answer
    x = 322,622.28

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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.