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Finding the Fourth Proportional to 614,724.09, 922,250.30 and 194,007.93

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Solution

The fourth proportional to 614,724.09, 922,250.30 and 194,007.93 is: 291,063.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,724.09 : 922,250.30 = 194,007.93 : x
  2. Step 2: Convert to fraction form
    614,724.09/922,250.30 = 194,007.93/x
  3. Step 3: Cross multiply
    614,724.09x = 922,250.30 × 194,007.93
  4. Step 4: Simplify right side
    614,724.09x = 178,923,871,644.88
  5. Step 5: Solve for x
    x = 178,923,871,644.88/614,724.09
  6. Step 6: Final answer
    x = 291,063.71

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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.