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Finding the Fourth Proportional to 335,274.86, 462,670.16 and 184,371.86

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Solution

The fourth proportional to 335,274.86, 462,670.16 and 184,371.86 is: 254,428.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,274.86 : 462,670.16 = 184,371.86 : x
  2. Step 2: Convert to fraction form
    335,274.86/462,670.16 = 184,371.86/x
  3. Step 3: Cross multiply
    335,274.86x = 462,670.16 × 184,371.86
  4. Step 4: Simplify right side
    335,274.86x = 85,303,357,965.70
  5. Step 5: Solve for x
    x = 85,303,357,965.70/335,274.86
  6. Step 6: Final answer
    x = 254,428.14

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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.