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Finding the Fourth Proportional to 510,799.73, 704,903.61 and 296,064.35

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Solution

The fourth proportional to 510,799.73, 704,903.61 and 296,064.35 is: 408,568.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,799.73 : 704,903.61 = 296,064.35 : x
  2. Step 2: Convert to fraction form
    510,799.73/704,903.61 = 296,064.35/x
  3. Step 3: Cross multiply
    510,799.73x = 704,903.61 × 296,064.35
  4. Step 4: Simplify right side
    510,799.73x = 208,696,829,107.30
  5. Step 5: Solve for x
    x = 208,696,829,107.30/510,799.73
  6. Step 6: Final answer
    x = 408,568.79

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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.