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Finding the Fourth Proportional to 340,704.05, 470,192.50 and 187,742.16

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Solution

The fourth proportional to 340,704.05, 470,192.50 and 187,742.16 is: 259,095.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,704.05 : 470,192.50 = 187,742.16 : x
  2. Step 2: Convert to fraction form
    340,704.05/470,192.50 = 187,742.16/x
  3. Step 3: Cross multiply
    340,704.05x = 470,192.50 × 187,742.16
  4. Step 4: Simplify right side
    340,704.05x = 88,274,953,214.84
  5. Step 5: Solve for x
    x = 88,274,953,214.84/340,704.05
  6. Step 6: Final answer
    x = 259,095.70

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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.