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Finding the Fourth Proportional to 355,697.04, 490,877.64 and 204,842.64

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Solution

The fourth proportional to 355,697.04, 490,877.64 and 204,842.64 is: 282,691.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,697.04 : 490,877.64 = 204,842.64 : x
  2. Step 2: Convert to fraction form
    355,697.04/490,877.64 = 204,842.64/x
  3. Step 3: Cross multiply
    355,697.04x = 490,877.64 × 204,842.64
  4. Step 4: Simplify right side
    355,697.04x = 100,552,671,694.57
  5. Step 5: Solve for x
    x = 100,552,671,694.57/355,697.04
  6. Step 6: Final answer
    x = 282,691.90

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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.