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Finding the Fourth Proportional to 346,810.20, 520,229.70 and 110,146.20

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Solution

The fourth proportional to 346,810.20, 520,229.70 and 110,146.20 is: 165,223.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,810.20 : 520,229.70 = 110,146.20 : x
  2. Step 2: Convert to fraction form
    346,810.20/520,229.70 = 110,146.20/x
  3. Step 3: Cross multiply
    346,810.20x = 520,229.70 × 110,146.20
  4. Step 4: Simplify right side
    346,810.20x = 57,301,324,582.14
  5. Step 5: Solve for x
    x = 57,301,324,582.14/346,810.20
  6. Step 6: Final answer
    x = 165,223.87

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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.