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Finding the Fourth Proportional to 472,007.80, 708,011.70 and 322,708.60

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Solution

The fourth proportional to 472,007.80, 708,011.70 and 322,708.60 is: 484,062.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,007.80 : 708,011.70 = 322,708.60 : x
  2. Step 2: Convert to fraction form
    472,007.80/708,011.70 = 322,708.60/x
  3. Step 3: Cross multiply
    472,007.80x = 708,011.70 × 322,708.60
  4. Step 4: Simplify right side
    472,007.80x = 228,481,464,490.62
  5. Step 5: Solve for x
    x = 228,481,464,490.62/472,007.80
  6. Step 6: Final answer
    x = 484,062.90

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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.