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Finding the Fourth Proportional to 346,870.20, 520,319.70 and 110,206.20

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Solution

The fourth proportional to 346,870.20, 520,319.70 and 110,206.20 is: 165,313.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,870.20 : 520,319.70 = 110,206.20 : x
  2. Step 2: Convert to fraction form
    346,870.20/520,319.70 = 110,206.20/x
  3. Step 3: Cross multiply
    346,870.20x = 520,319.70 × 110,206.20
  4. Step 4: Simplify right side
    346,870.20x = 57,342,456,922.14
  5. Step 5: Solve for x
    x = 57,342,456,922.14/346,870.20
  6. Step 6: Final answer
    x = 165,313.88

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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.