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Finding the Fourth Proportional to 493,104.20, 739,656.30 and 404,457.80

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Solution

The fourth proportional to 493,104.20, 739,656.30 and 404,457.80 is: 606,686.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,104.20 : 739,656.30 = 404,457.80 : x
  2. Step 2: Convert to fraction form
    493,104.20/739,656.30 = 404,457.80/x
  3. Step 3: Cross multiply
    493,104.20x = 739,656.30 × 404,457.80
  4. Step 4: Simplify right side
    493,104.20x = 299,159,759,854.14
  5. Step 5: Solve for x
    x = 299,159,759,854.14/493,104.20
  6. Step 6: Final answer
    x = 606,686.70

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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.