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Finding the Fourth Proportional to 523,151.68, 721,899.42 and 293,656.40

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Solution

The fourth proportional to 523,151.68, 721,899.42 and 293,656.40 is: 405,217.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,151.68 : 721,899.42 = 293,656.40 : x
  2. Step 2: Convert to fraction form
    523,151.68/721,899.42 = 293,656.40/x
  3. Step 3: Cross multiply
    523,151.68x = 721,899.42 × 293,656.40
  4. Step 4: Simplify right side
    523,151.68x = 211,990,384,839.29
  5. Step 5: Solve for x
    x = 211,990,384,839.29/523,151.68
  6. Step 6: Final answer
    x = 405,217.82

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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.