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Finding the Fourth Proportional to 374,474, 516,774.16 and 204,709.36

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Solution

The fourth proportional to 374,474, 516,774.16 and 204,709.36 is: 282,498.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,474 : 516,774.16 = 204,709.36 : x
  2. Step 2: Convert to fraction form
    374,474/516,774.16 = 204,709.36/x
  3. Step 3: Cross multiply
    374,474x = 516,774.16 × 204,709.36
  4. Step 4: Simplify right side
    374,474x = 105,788,507,558.14
  5. Step 5: Solve for x
    x = 105,788,507,558.14/374,474
  6. Step 6: Final answer
    x = 282,498.94

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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.