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Finding the Fourth Proportional to 346,678.89, 478,464.39 and 199,500.72

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Solution

The fourth proportional to 346,678.89, 478,464.39 and 199,500.72 is: 275,338.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,678.89 : 478,464.39 = 199,500.72 : x
  2. Step 2: Convert to fraction form
    346,678.89/478,464.39 = 199,500.72/x
  3. Step 3: Cross multiply
    346,678.89x = 478,464.39 × 199,500.72
  4. Step 4: Simplify right side
    346,678.89x = 95,453,990,299.36
  5. Step 5: Solve for x
    x = 95,453,990,299.36/346,678.89
  6. Step 6: Final answer
    x = 275,338.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.