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Finding the Fourth Proportional to 512,806.04, 707,657.44 and 283,359.68

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Solution

The fourth proportional to 512,806.04, 707,657.44 and 283,359.68 is: 391,028.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,806.04 : 707,657.44 = 283,359.68 : x
  2. Step 2: Convert to fraction form
    512,806.04/707,657.44 = 283,359.68/x
  3. Step 3: Cross multiply
    512,806.04x = 707,657.44 × 283,359.68
  4. Step 4: Simplify right side
    512,806.04x = 200,521,585,748.02
  5. Step 5: Solve for x
    x = 200,521,585,748.02/512,806.04
  6. Step 6: Final answer
    x = 391,028.13

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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.