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Finding the Fourth Proportional to 477,970.20, 716,364.81 and 241,380.54

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Solution

The fourth proportional to 477,970.20, 716,364.81 and 241,380.54 is: 361,772.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,970.20 : 716,364.81 = 241,380.54 : x
  2. Step 2: Convert to fraction form
    477,970.20/716,364.81 = 241,380.54/x
  3. Step 3: Cross multiply
    477,970.20x = 716,364.81 × 241,380.54
  4. Step 4: Simplify right side
    477,970.20x = 172,916,524,674.80
  5. Step 5: Solve for x
    x = 172,916,524,674.80/477,970.20
  6. Step 6: Final answer
    x = 361,772.61

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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.