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Finding the Fourth Proportional to 472,416.60, 708,722.10 and 157,099.80

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Solution

The fourth proportional to 472,416.60, 708,722.10 and 157,099.80 is: 235,682.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,416.60 : 708,722.10 = 157,099.80 : x
  2. Step 2: Convert to fraction form
    472,416.60/708,722.10 = 157,099.80/x
  3. Step 3: Cross multiply
    472,416.60x = 708,722.10 × 157,099.80
  4. Step 4: Simplify right side
    472,416.60x = 111,340,100,165.58
  5. Step 5: Solve for x
    x = 111,340,100,165.58/472,416.60
  6. Step 6: Final answer
    x = 235,682.02

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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.