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Finding the Fourth Proportional to 346,412.70, 519,359.85 and 188,819.10

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Solution

The fourth proportional to 346,412.70, 519,359.85 and 188,819.10 is: 283,087.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,412.70 : 519,359.85 = 188,819.10 : x
  2. Step 2: Convert to fraction form
    346,412.70/519,359.85 = 188,819.10/x
  3. Step 3: Cross multiply
    346,412.70x = 519,359.85 × 188,819.10
  4. Step 4: Simplify right side
    346,412.70x = 98,065,059,453.14
  5. Step 5: Solve for x
    x = 98,065,059,453.14/346,412.70
  6. Step 6: Final answer
    x = 283,087.37

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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.