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Finding the Fourth Proportional to 458,252.45, 687,214.63 and 158,652.58

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Solution

The fourth proportional to 458,252.45, 687,214.63 and 158,652.58 is: 237,922.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,252.45 : 687,214.63 = 158,652.58 : x
  2. Step 2: Convert to fraction form
    458,252.45/687,214.63 = 158,652.58/x
  3. Step 3: Cross multiply
    458,252.45x = 687,214.63 × 158,652.58
  4. Step 4: Simplify right side
    458,252.45x = 109,028,374,063.25
  5. Step 5: Solve for x
    x = 109,028,374,063.25/458,252.45
  6. Step 6: Final answer
    x = 237,922.08

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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.