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Finding the Fourth Proportional to 590,522.50, 814,946.87 and 332,416.11

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Solution

The fourth proportional to 590,522.50, 814,946.87 and 332,416.11 is: 458,748.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,522.50 : 814,946.87 = 332,416.11 : x
  2. Step 2: Convert to fraction form
    590,522.50/814,946.87 = 332,416.11/x
  3. Step 3: Cross multiply
    590,522.50x = 814,946.87 × 332,416.11
  4. Step 4: Simplify right side
    590,522.50x = 270,901,468,382.08
  5. Step 5: Solve for x
    x = 270,901,468,382.08/590,522.50
  6. Step 6: Final answer
    x = 458,748.77

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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.