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Finding the Fourth Proportional to 687,740.85, 949,063.88 and 412,254.31

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Solution

The fourth proportional to 687,740.85, 949,063.88 and 412,254.31 is: 568,899.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,740.85 : 949,063.88 = 412,254.31 : x
  2. Step 2: Convert to fraction form
    687,740.85/949,063.88 = 412,254.31/x
  3. Step 3: Cross multiply
    687,740.85x = 949,063.88 × 412,254.31
  4. Step 4: Simplify right side
    687,740.85x = 391,255,679,450.22
  5. Step 5: Solve for x
    x = 391,255,679,450.22/687,740.85
  6. Step 6: Final answer
    x = 568,899.87

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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.