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Finding the Fourth Proportional to 488,946.40, 732,836.40 and 204,636.40

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Solution

The fourth proportional to 488,946.40, 732,836.40 and 204,636.40 is: 306,710.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,946.40 : 732,836.40 = 204,636.40 : x
  2. Step 2: Convert to fraction form
    488,946.40/732,836.40 = 204,636.40/x
  3. Step 3: Cross multiply
    488,946.40x = 732,836.40 × 204,636.40
  4. Step 4: Simplify right side
    488,946.40x = 149,965,002,684.96
  5. Step 5: Solve for x
    x = 149,965,002,684.96/488,946.40
  6. Step 6: Final answer
    x = 306,710.52

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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.