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Finding the Fourth Proportional to 614,774.25, 922,222.88 and 188,305.14

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Solution

The fourth proportional to 614,774.25, 922,222.88 and 188,305.14 is: 282,476.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,774.25 : 922,222.88 = 188,305.14 : x
  2. Step 2: Convert to fraction form
    614,774.25/922,222.88 = 188,305.14/x
  3. Step 3: Cross multiply
    614,774.25x = 922,222.88 × 188,305.14
  4. Step 4: Simplify right side
    614,774.25x = 173,659,307,588.08
  5. Step 5: Solve for x
    x = 173,659,307,588.08/614,774.25
  6. Step 6: Final answer
    x = 282,476.55

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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.