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Finding the Fourth Proportional to 344,493, 516,749.16 and 95,175

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Solution

The fourth proportional to 344,493, 516,749.16 and 95,175 is: 142,765.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,493 : 516,749.16 = 95,175 : x
  2. Step 2: Convert to fraction form
    344,493/516,749.16 = 95,175/x
  3. Step 3: Cross multiply
    344,493x = 516,749.16 × 95,175
  4. Step 4: Simplify right side
    344,493x = 49,181,601,303
  5. Step 5: Solve for x
    x = 49,181,601,303/344,493
  6. Step 6: Final answer
    x = 142,765.17

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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.