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Finding the Fourth Proportional to 510,092.96, 703,933.67 and 280,653.27

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Solution

The fourth proportional to 510,092.96, 703,933.67 and 280,653.27 is: 387,304.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,092.96 : 703,933.67 = 280,653.27 : x
  2. Step 2: Convert to fraction form
    510,092.96/703,933.67 = 280,653.27/x
  3. Step 3: Cross multiply
    510,092.96x = 703,933.67 × 280,653.27
  4. Step 4: Simplify right side
    510,092.96x = 197,561,287,050.23
  5. Step 5: Solve for x
    x = 197,561,287,050.23/510,092.96
  6. Step 6: Final answer
    x = 387,304.48

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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.