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Finding the Fourth Proportional to 442,897.81, 664,024.87 and 176,578.45

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Solution

The fourth proportional to 442,897.81, 664,024.87 and 176,578.45 is: 264,739.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,897.81 : 664,024.87 = 176,578.45 : x
  2. Step 2: Convert to fraction form
    442,897.81/664,024.87 = 176,578.45/x
  3. Step 3: Cross multiply
    442,897.81x = 664,024.87 × 176,578.45
  4. Step 4: Simplify right side
    442,897.81x = 117,252,482,306.05
  5. Step 5: Solve for x
    x = 117,252,482,306.05/442,897.81
  6. Step 6: Final answer
    x = 264,739.36

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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.