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Finding the Fourth Proportional to 614,862.12, 922,321.44 and 188,367.36

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Solution

The fourth proportional to 614,862.12, 922,321.44 and 188,367.36 is: 282,559.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,862.12 : 922,321.44 = 188,367.36 : x
  2. Step 2: Convert to fraction form
    614,862.12/922,321.44 = 188,367.36/x
  3. Step 3: Cross multiply
    614,862.12x = 922,321.44 × 188,367.36
  4. Step 4: Simplify right side
    614,862.12x = 173,735,254,724.20
  5. Step 5: Solve for x
    x = 173,735,254,724.20/614,862.12
  6. Step 6: Final answer
    x = 282,559.70

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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.