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Finding the Fourth Proportional to 614,878.40, 922,447.20 and 259,709.60

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Solution

The fourth proportional to 614,878.40, 922,447.20 and 259,709.60 is: 389,619.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,878.40 : 922,447.20 = 259,709.60 : x
  2. Step 2: Convert to fraction form
    614,878.40/922,447.20 = 259,709.60/x
  3. Step 3: Cross multiply
    614,878.40x = 922,447.20 × 259,709.60
  4. Step 4: Simplify right side
    614,878.40x = 239,568,393,333.12
  5. Step 5: Solve for x
    x = 239,568,393,333.12/614,878.40
  6. Step 6: Final answer
    x = 389,619.14

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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.