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Finding the Fourth Proportional to 383,809.59, 575,468.01 and 159,324.98

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Solution

The fourth proportional to 383,809.59, 575,468.01 and 159,324.98 is: 238,885.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,809.59 : 575,468.01 = 159,324.98 : x
  2. Step 2: Convert to fraction form
    383,809.59/575,468.01 = 159,324.98/x
  3. Step 3: Cross multiply
    383,809.59x = 575,468.01 × 159,324.98
  4. Step 4: Simplify right side
    383,809.59x = 91,686,426,306.55
  5. Step 5: Solve for x
    x = 91,686,426,306.55/383,809.59
  6. Step 6: Final answer
    x = 238,885.19

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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.