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Finding the Fourth Proportional to 413,363.60, 620,045.40 and 263,772.80

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Solution

The fourth proportional to 413,363.60, 620,045.40 and 263,772.80 is: 395,659.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,363.60 : 620,045.40 = 263,772.80 : x
  2. Step 2: Convert to fraction form
    413,363.60/620,045.40 = 263,772.80/x
  3. Step 3: Cross multiply
    413,363.60x = 620,045.40 × 263,772.80
  4. Step 4: Simplify right side
    413,363.60x = 163,551,111,285.12
  5. Step 5: Solve for x
    x = 163,551,111,285.12/413,363.60
  6. Step 6: Final answer
    x = 395,659.20

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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.