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Finding the Fourth Proportional to 691,568.32, 954,334.72 and 510,214.96

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Solution

The fourth proportional to 691,568.32, 954,334.72 and 510,214.96 is: 704,074.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,568.32 : 954,334.72 = 510,214.96 : x
  2. Step 2: Convert to fraction form
    691,568.32/954,334.72 = 510,214.96/x
  3. Step 3: Cross multiply
    691,568.32x = 954,334.72 × 510,214.96
  4. Step 4: Simplify right side
    691,568.32x = 486,915,850,991.41
  5. Step 5: Solve for x
    x = 486,915,850,991.41/691,568.32
  6. Step 6: Final answer
    x = 704,074.84

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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.