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Finding the Fourth Proportional to 462,082.86, 693,296.01 and 282,536.70

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Solution

The fourth proportional to 462,082.86, 693,296.01 and 282,536.70 is: 423,910.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,082.86 : 693,296.01 = 282,536.70 : x
  2. Step 2: Convert to fraction form
    462,082.86/693,296.01 = 282,536.70/x
  3. Step 3: Cross multiply
    462,082.86x = 693,296.01 × 282,536.70
  4. Step 4: Simplify right side
    462,082.86x = 195,881,566,788.57
  5. Step 5: Solve for x
    x = 195,881,566,788.57/462,082.86
  6. Step 6: Final answer
    x = 423,910.05

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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.