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Finding the Fourth Proportional to 424,794.96, 586,217.19 and 233,806.98

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Solution

The fourth proportional to 424,794.96, 586,217.19 and 233,806.98 is: 322,653.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,794.96 : 586,217.19 = 233,806.98 : x
  2. Step 2: Convert to fraction form
    424,794.96/586,217.19 = 233,806.98/x
  3. Step 3: Cross multiply
    424,794.96x = 586,217.19 × 233,806.98
  4. Step 4: Simplify right side
    424,794.96x = 137,061,670,817.99
  5. Step 5: Solve for x
    x = 137,061,670,817.99/424,794.96
  6. Step 6: Final answer
    x = 322,653.71

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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.