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Finding the Fourth Proportional to 340,900.83, 470,446.11 and 187,944.30

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Solution

The fourth proportional to 340,900.83, 470,446.11 and 187,944.30 is: 259,364.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,900.83 : 470,446.11 = 187,944.30 : x
  2. Step 2: Convert to fraction form
    340,900.83/470,446.11 = 187,944.30/x
  3. Step 3: Cross multiply
    340,900.83x = 470,446.11 × 187,944.30
  4. Step 4: Simplify right side
    340,900.83x = 88,417,664,831.67
  5. Step 5: Solve for x
    x = 88,417,664,831.67/340,900.83
  6. Step 6: Final answer
    x = 259,364.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.