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Finding the Fourth Proportional to 313,597.60, 470,235.12 and 103,211.68

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Solution

The fourth proportional to 313,597.60, 470,235.12 and 103,211.68 is: 154,764.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,597.60 : 470,235.12 = 103,211.68 : x
  2. Step 2: Convert to fraction form
    313,597.60/470,235.12 = 103,211.68/x
  3. Step 3: Cross multiply
    313,597.60x = 470,235.12 × 103,211.68
  4. Step 4: Simplify right side
    313,597.60x = 48,533,756,730.20
  5. Step 5: Solve for x
    x = 48,533,756,730.20/313,597.60
  6. Step 6: Final answer
    x = 154,764.44

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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.