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Finding the Fourth Proportional to 433,153.60, 597,910.25 and 261,077.71

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Solution

The fourth proportional to 433,153.60, 597,910.25 and 261,077.71 is: 360,382.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,153.60 : 597,910.25 = 261,077.71 : x
  2. Step 2: Convert to fraction form
    433,153.60/597,910.25 = 261,077.71/x
  3. Step 3: Cross multiply
    433,153.60x = 597,910.25 × 261,077.71
  4. Step 4: Simplify right side
    433,153.60x = 156,101,038,855.53
  5. Step 5: Solve for x
    x = 156,101,038,855.53/433,153.60
  6. Step 6: Final answer
    x = 360,382.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.