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Finding the Fourth Proportional to 472,854.80, 708,706.20 and 206,051.60

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Solution

The fourth proportional to 472,854.80, 708,706.20 and 206,051.60 is: 308,826.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,854.80 : 708,706.20 = 206,051.60 : x
  2. Step 2: Convert to fraction form
    472,854.80/708,706.20 = 206,051.60/x
  3. Step 3: Cross multiply
    472,854.80x = 708,706.20 × 206,051.60
  4. Step 4: Simplify right side
    472,854.80x = 146,030,046,439.92
  5. Step 5: Solve for x
    x = 146,030,046,439.92/472,854.80
  6. Step 6: Final answer
    x = 308,826.40

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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.