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Finding the Fourth Proportional to 404,793.60, 607,557.60 and 205,252.80

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Solution

The fourth proportional to 404,793.60, 607,557.60 and 205,252.80 is: 308,065.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,793.60 : 607,557.60 = 205,252.80 : x
  2. Step 2: Convert to fraction form
    404,793.60/607,557.60 = 205,252.80/x
  3. Step 3: Cross multiply
    404,793.60x = 607,557.60 × 205,252.80
  4. Step 4: Simplify right side
    404,793.60x = 124,702,898,561.28
  5. Step 5: Solve for x
    x = 124,702,898,561.28/404,793.60
  6. Step 6: Final answer
    x = 308,065.39

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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.