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Finding the Fourth Proportional to 510,584.41, 704,700.96 and 295,724.41

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Solution

The fourth proportional to 510,584.41, 704,700.96 and 295,724.41 is: 408,154.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,584.41 : 704,700.96 = 295,724.41 : x
  2. Step 2: Convert to fraction form
    510,584.41/704,700.96 = 295,724.41/x
  3. Step 3: Cross multiply
    510,584.41x = 704,700.96 × 295,724.41
  4. Step 4: Simplify right side
    510,584.41x = 208,397,275,622.43
  5. Step 5: Solve for x
    x = 208,397,275,622.43/510,584.41
  6. Step 6: Final answer
    x = 408,154.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.