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Finding the Fourth Proportional to 291,296.10, 401,931.06 and 184,013.22

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Solution

The fourth proportional to 291,296.10, 401,931.06 and 184,013.22 is: 253,901.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,296.10 : 401,931.06 = 184,013.22 : x
  2. Step 2: Convert to fraction form
    291,296.10/401,931.06 = 184,013.22/x
  3. Step 3: Cross multiply
    291,296.10x = 401,931.06 × 184,013.22
  4. Step 4: Simplify right side
    291,296.10x = 73,960,628,568.61
  5. Step 5: Solve for x
    x = 73,960,628,568.61/291,296.10
  6. Step 6: Final answer
    x = 253,901.88

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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.