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Finding the Fourth Proportional to 366,819.60, 506,204.64 and 205,674.15

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Solution

The fourth proportional to 366,819.60, 506,204.64 and 205,674.15 is: 283,826.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,819.60 : 506,204.64 = 205,674.15 : x
  2. Step 2: Convert to fraction form
    366,819.60/506,204.64 = 205,674.15/x
  3. Step 3: Cross multiply
    366,819.60x = 506,204.64 × 205,674.15
  4. Step 4: Simplify right side
    366,819.60x = 104,113,209,552.29
  5. Step 5: Solve for x
    x = 104,113,209,552.29/366,819.60
  6. Step 6: Final answer
    x = 283,826.73

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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.