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Finding the Fourth Proportional to 346,412.60, 519,635.10 and 109,773.80

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Solution

The fourth proportional to 346,412.60, 519,635.10 and 109,773.80 is: 164,665.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,412.60 : 519,635.10 = 109,773.80 : x
  2. Step 2: Convert to fraction form
    346,412.60/519,635.10 = 109,773.80/x
  3. Step 3: Cross multiply
    346,412.60x = 519,635.10 × 109,773.80
  4. Step 4: Simplify right side
    346,412.60x = 57,042,319,540.38
  5. Step 5: Solve for x
    x = 57,042,319,540.38/346,412.60
  6. Step 6: Final answer
    x = 164,665.83

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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.