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Finding the Fourth Proportional to 413,847.60, 621,205.76 and 366,763.92

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Solution

The fourth proportional to 413,847.60, 621,205.76 and 366,763.92 is: 550,530.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,847.60 : 621,205.76 = 366,763.92 : x
  2. Step 2: Convert to fraction form
    413,847.60/621,205.76 = 366,763.92/x
  3. Step 3: Cross multiply
    413,847.60x = 621,205.76 × 366,763.92
  4. Step 4: Simplify right side
    413,847.60x = 227,835,859,664.18
  5. Step 5: Solve for x
    x = 227,835,859,664.18/413,847.60
  6. Step 6: Final answer
    x = 550,530.82

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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.