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Finding the Fourth Proportional to 472,336.02, 708,011.96 and 206,025.03

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Solution

The fourth proportional to 472,336.02, 708,011.96 and 206,025.03 is: 308,822.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,336.02 : 708,011.96 = 206,025.03 : x
  2. Step 2: Convert to fraction form
    472,336.02/708,011.96 = 206,025.03/x
  3. Step 3: Cross multiply
    472,336.02x = 708,011.96 × 206,025.03
  4. Step 4: Simplify right side
    472,336.02x = 145,868,184,269.23
  5. Step 5: Solve for x
    x = 145,868,184,269.23/472,336.02
  6. Step 6: Final answer
    x = 308,822.91

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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.