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Finding the Fourth Proportional to 305,893.40, 458,904.90 and 92,643.80

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Solution

The fourth proportional to 305,893.40, 458,904.90 and 92,643.80 is: 138,985.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,893.40 : 458,904.90 = 92,643.80 : x
  2. Step 2: Convert to fraction form
    305,893.40/458,904.90 = 92,643.80/x
  3. Step 3: Cross multiply
    305,893.40x = 458,904.90 × 92,643.80
  4. Step 4: Simplify right side
    305,893.40x = 42,514,693,774.62
  5. Step 5: Solve for x
    x = 42,514,693,774.62/305,893.40
  6. Step 6: Final answer
    x = 138,985.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.