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Finding the Fourth Proportional to 305,411.58, 458,146.53 and 94,993.02

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Solution

The fourth proportional to 305,411.58, 458,146.53 and 94,993.02 is: 142,498.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,411.58 : 458,146.53 = 94,993.02 : x
  2. Step 2: Convert to fraction form
    305,411.58/458,146.53 = 94,993.02/x
  3. Step 3: Cross multiply
    305,411.58x = 458,146.53 × 94,993.02
  4. Step 4: Simplify right side
    305,411.58x = 43,520,722,487.22
  5. Step 5: Solve for x
    x = 43,520,722,487.22/305,411.58
  6. Step 6: Final answer
    x = 142,498.60

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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.