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Finding the Fourth Proportional to 420,939.50, 631,658.36 and 154,886.84

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Solution

The fourth proportional to 420,939.50, 631,658.36 and 154,886.84 is: 232,421.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,939.50 : 631,658.36 = 154,886.84 : x
  2. Step 2: Convert to fraction form
    420,939.50/631,658.36 = 154,886.84/x
  3. Step 3: Cross multiply
    420,939.50x = 631,658.36 × 154,886.84
  4. Step 4: Simplify right side
    420,939.50x = 97,835,568,144.69
  5. Step 5: Solve for x
    x = 97,835,568,144.69/420,939.50
  6. Step 6: Final answer
    x = 232,421.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.