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Finding the Fourth Proportional to 424,797.96, 586,221.33 and 233,809.98

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Solution

The fourth proportional to 424,797.96, 586,221.33 and 233,809.98 is: 322,657.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,797.96 : 586,221.33 = 233,809.98 : x
  2. Step 2: Convert to fraction form
    424,797.96/586,221.33 = 233,809.98/x
  3. Step 3: Cross multiply
    424,797.96x = 586,221.33 × 233,809.98
  4. Step 4: Simplify right side
    424,797.96x = 137,064,397,442.87
  5. Step 5: Solve for x
    x = 137,064,397,442.87/424,797.96
  6. Step 6: Final answer
    x = 322,657.85

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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.