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Finding the Fourth Proportional to 399,664.80, 599,410.80 and 175,024.80

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Solution

The fourth proportional to 399,664.80, 599,410.80 and 175,024.80 is: 262,499.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,664.80 : 599,410.80 = 175,024.80 : x
  2. Step 2: Convert to fraction form
    399,664.80/599,410.80 = 175,024.80/x
  3. Step 3: Cross multiply
    399,664.80x = 599,410.80 × 175,024.80
  4. Step 4: Simplify right side
    399,664.80x = 104,911,755,387.84
  5. Step 5: Solve for x
    x = 104,911,755,387.84/399,664.80
  6. Step 6: Final answer
    x = 262,499.36

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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.