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Finding the Fourth Proportional to 291,415.84, 401,999.94 and 200,614.17

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Solution

The fourth proportional to 291,415.84, 401,999.94 and 200,614.17 is: 276,741.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,415.84 : 401,999.94 = 200,614.17 : x
  2. Step 2: Convert to fraction form
    291,415.84/401,999.94 = 200,614.17/x
  3. Step 3: Cross multiply
    291,415.84x = 401,999.94 × 200,614.17
  4. Step 4: Simplify right side
    291,415.84x = 80,646,882,985.17
  5. Step 5: Solve for x
    x = 80,646,882,985.17/291,415.84
  6. Step 6: Final answer
    x = 276,741.59

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1.5x scale

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.