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Finding the Fourth Proportional to 487,255.60, 730,624.20 and 206,455.60

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Solution

The fourth proportional to 487,255.60, 730,624.20 and 206,455.60 is: 309,573.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,255.60 : 730,624.20 = 206,455.60 : x
  2. Step 2: Convert to fraction form
    487,255.60/730,624.20 = 206,455.60/x
  3. Step 3: Cross multiply
    487,255.60x = 730,624.20 × 206,455.60
  4. Step 4: Simplify right side
    487,255.60x = 150,841,457,585.52
  5. Step 5: Solve for x
    x = 150,841,457,585.52/487,255.60
  6. Step 6: Final answer
    x = 309,573.57

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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.