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Finding the Fourth Proportional to 328,039.92, 492,209.81 and 148,173.44

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Solution

The fourth proportional to 328,039.92, 492,209.81 and 148,173.44 is: 222,327.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,039.92 : 492,209.81 = 148,173.44 : x
  2. Step 2: Convert to fraction form
    328,039.92/492,209.81 = 148,173.44/x
  3. Step 3: Cross multiply
    328,039.92x = 492,209.81 × 148,173.44
  4. Step 4: Simplify right side
    328,039.92x = 72,932,417,547.53
  5. Step 5: Solve for x
    x = 72,932,417,547.53/328,039.92
  6. Step 6: Final answer
    x = 222,327.87

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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.