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Finding the Fourth Proportional to 442,897.93, 664,025.05 and 176,578.57

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Solution

The fourth proportional to 442,897.93, 664,025.05 and 176,578.57 is: 264,739.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,897.93 : 664,025.05 = 176,578.57 : x
  2. Step 2: Convert to fraction form
    442,897.93/664,025.05 = 176,578.57/x
  3. Step 3: Cross multiply
    442,897.93x = 664,025.05 × 176,578.57
  4. Step 4: Simplify right side
    442,897.93x = 117,252,593,773.18
  5. Step 5: Solve for x
    x = 117,252,593,773.18/442,897.93
  6. Step 6: Final answer
    x = 264,739.54

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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.