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Finding the Fourth Proportional to 335,047, 462,364.86 and 184,144

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Solution

The fourth proportional to 335,047, 462,364.86 and 184,144 is: 254,118.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,047 : 462,364.86 = 184,144 : x
  2. Step 2: Convert to fraction form
    335,047/462,364.86 = 184,144/x
  3. Step 3: Cross multiply
    335,047x = 462,364.86 × 184,144
  4. Step 4: Simplify right side
    335,047x = 85,141,714,779.84
  5. Step 5: Solve for x
    x = 85,141,714,779.84/335,047
  6. Step 6: Final answer
    x = 254,118.72

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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.