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Finding the Fourth Proportional to 361,409.70, 542,114.55 and 193,448.10

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Solution

The fourth proportional to 361,409.70, 542,114.55 and 193,448.10 is: 290,172.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,409.70 : 542,114.55 = 193,448.10 : x
  2. Step 2: Convert to fraction form
    361,409.70/542,114.55 = 193,448.10/x
  3. Step 3: Cross multiply
    361,409.70x = 542,114.55 × 193,448.10
  4. Step 4: Simplify right side
    361,409.70x = 104,871,029,679.86
  5. Step 5: Solve for x
    x = 104,871,029,679.86/361,409.70
  6. Step 6: Final answer
    x = 290,172.15

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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.