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Finding the Fourth Proportional to 472,365.18, 708,793.80 and 206,152.60

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Solution

The fourth proportional to 472,365.18, 708,793.80 and 206,152.60 is: 309,336.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,365.18 : 708,793.80 = 206,152.60 : x
  2. Step 2: Convert to fraction form
    472,365.18/708,793.80 = 206,152.60/x
  3. Step 3: Cross multiply
    472,365.18x = 708,793.80 × 206,152.60
  4. Step 4: Simplify right side
    472,365.18x = 146,119,684,733.88
  5. Step 5: Solve for x
    x = 146,119,684,733.88/472,365.18
  6. Step 6: Final answer
    x = 309,336.27

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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.