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Finding the Fourth Proportional to 291,807.64, 402,757.14 and 184,309.30

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Solution

The fourth proportional to 291,807.64, 402,757.14 and 184,309.30 is: 254,386.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,807.64 : 402,757.14 = 184,309.30 : x
  2. Step 2: Convert to fraction form
    291,807.64/402,757.14 = 184,309.30/x
  3. Step 3: Cross multiply
    291,807.64x = 402,757.14 × 184,309.30
  4. Step 4: Simplify right side
    291,807.64x = 74,231,886,543.40
  5. Step 5: Solve for x
    x = 74,231,886,543.40/291,807.64
  6. Step 6: Final answer
    x = 254,386.37

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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.