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Finding the Fourth Proportional to 346,943.20, 520,414.80 and 110,309.80

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Solution

The fourth proportional to 346,943.20, 520,414.80 and 110,309.80 is: 165,464.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,943.20 : 520,414.80 = 110,309.80 : x
  2. Step 2: Convert to fraction form
    346,943.20/520,414.80 = 110,309.80/x
  3. Step 3: Cross multiply
    346,943.20x = 520,414.80 × 110,309.80
  4. Step 4: Simplify right side
    346,943.20x = 57,406,852,505.04
  5. Step 5: Solve for x
    x = 57,406,852,505.04/346,943.20
  6. Step 6: Final answer
    x = 165,464.70

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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.