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Finding the Fourth Proportional to 334,989, 462,284.82 and 184,086

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Solution

The fourth proportional to 334,989, 462,284.82 and 184,086 is: 254,038.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,989 : 462,284.82 = 184,086 : x
  2. Step 2: Convert to fraction form
    334,989/462,284.82 = 184,086/x
  3. Step 3: Cross multiply
    334,989x = 462,284.82 × 184,086
  4. Step 4: Simplify right side
    334,989x = 85,100,163,374.52
  5. Step 5: Solve for x
    x = 85,100,163,374.52/334,989
  6. Step 6: Final answer
    x = 254,038.68

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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.