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Finding the Fourth Proportional to 614,845, 922,403.76 and 188,439.76

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Solution

The fourth proportional to 614,845, 922,403.76 and 188,439.76 is: 282,701.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,845 : 922,403.76 = 188,439.76 : x
  2. Step 2: Convert to fraction form
    614,845/922,403.76 = 188,439.76/x
  3. Step 3: Cross multiply
    614,845x = 922,403.76 × 188,439.76
  4. Step 4: Simplify right side
    614,845x = 173,817,543,157.50
  5. Step 5: Solve for x
    x = 173,817,543,157.50/614,845
  6. Step 6: Final answer
    x = 282,701.40

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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.