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Finding the Fourth Proportional to 346,864.80, 520,297.20 and 110,231.40

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Solution

The fourth proportional to 346,864.80, 520,297.20 and 110,231.40 is: 165,347.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,864.80 : 520,297.20 = 110,231.40 : x
  2. Step 2: Convert to fraction form
    346,864.80/520,297.20 = 110,231.40/x
  3. Step 3: Cross multiply
    346,864.80x = 520,297.20 × 110,231.40
  4. Step 4: Simplify right side
    346,864.80x = 57,353,088,772.08
  5. Step 5: Solve for x
    x = 57,353,088,772.08/346,864.80
  6. Step 6: Final answer
    x = 165,347.10

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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.