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Finding the Fourth Proportional to 432,580.24, 648,932.10 and 133,085.80

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Solution

The fourth proportional to 432,580.24, 648,932.10 and 133,085.80 is: 199,647.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,580.24 : 648,932.10 = 133,085.80 : x
  2. Step 2: Convert to fraction form
    432,580.24/648,932.10 = 133,085.80/x
  3. Step 3: Cross multiply
    432,580.24x = 648,932.10 × 133,085.80
  4. Step 4: Simplify right side
    432,580.24x = 86,363,647,674.18
  5. Step 5: Solve for x
    x = 86,363,647,674.18/432,580.24
  6. Step 6: Final answer
    x = 199,647.69

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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.