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Finding the Fourth Proportional to 614,773.86, 922,222.32 and 188,304.77

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Solution

The fourth proportional to 614,773.86, 922,222.32 and 188,304.77 is: 282,475.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,773.86 : 922,222.32 = 188,304.77 : x
  2. Step 2: Convert to fraction form
    614,773.86/922,222.32 = 188,304.77/x
  3. Step 3: Cross multiply
    614,773.86x = 922,222.32 × 188,304.77
  4. Step 4: Simplify right side
    614,773.86x = 173,658,857,245.36
  5. Step 5: Solve for x
    x = 173,658,857,245.36/614,773.86
  6. Step 6: Final answer
    x = 282,475.99

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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.