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Finding the Fourth Proportional to 488,649.40, 732,390.90 and 204,339.40

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Solution

The fourth proportional to 488,649.40, 732,390.90 and 204,339.40 is: 306,265.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,649.40 : 732,390.90 = 204,339.40 : x
  2. Step 2: Convert to fraction form
    488,649.40/732,390.90 = 204,339.40/x
  3. Step 3: Cross multiply
    488,649.40x = 732,390.90 × 204,339.40
  4. Step 4: Simplify right side
    488,649.40x = 149,656,317,071.46
  5. Step 5: Solve for x
    x = 149,656,317,071.46/488,649.40
  6. Step 6: Final answer
    x = 306,265.22

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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.