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Finding the Fourth Proportional to 383,862.42, 575,772.87 and 117,623.70

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Solution

The fourth proportional to 383,862.42, 575,772.87 and 117,623.70 is: 176,429.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,862.42 : 575,772.87 = 117,623.70 : x
  2. Step 2: Convert to fraction form
    383,862.42/575,772.87 = 117,623.70/x
  3. Step 3: Cross multiply
    383,862.42x = 575,772.87 × 117,623.70
  4. Step 4: Simplify right side
    383,862.42x = 67,724,535,329.02
  5. Step 5: Solve for x
    x = 67,724,535,329.02/383,862.42
  6. Step 6: Final answer
    x = 176,429.19

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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.