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Finding the Fourth Proportional to 472,457.60, 708,772.80 and 192,003.20

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Solution

The fourth proportional to 472,457.60, 708,772.80 and 192,003.20 is: 288,039.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,457.60 : 708,772.80 = 192,003.20 : x
  2. Step 2: Convert to fraction form
    472,457.60/708,772.80 = 192,003.20/x
  3. Step 3: Cross multiply
    472,457.60x = 708,772.80 × 192,003.20
  4. Step 4: Simplify right side
    472,457.60x = 136,086,645,672.96
  5. Step 5: Solve for x
    x = 136,086,645,672.96/472,457.60
  6. Step 6: Final answer
    x = 288,039.91

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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.