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Finding the Fourth Proportional to 462,884.96, 693,648.14 and 260,874.33

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Solution

The fourth proportional to 462,884.96, 693,648.14 and 260,874.33 is: 390,928.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,884.96 : 693,648.14 = 260,874.33 : x
  2. Step 2: Convert to fraction form
    462,884.96/693,648.14 = 260,874.33/x
  3. Step 3: Cross multiply
    462,884.96x = 693,648.14 × 260,874.33
  4. Step 4: Simplify right side
    462,884.96x = 180,954,994,297.72
  5. Step 5: Solve for x
    x = 180,954,994,297.72/462,884.96
  6. Step 6: Final answer
    x = 390,928.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.