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Finding the Fourth Proportional to 458,518.40, 687,433.44 and 158,893.76

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Solution

The fourth proportional to 458,518.40, 687,433.44 and 158,893.76 is: 238,221.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,518.40 : 687,433.44 = 158,893.76 : x
  2. Step 2: Convert to fraction form
    458,518.40/687,433.44 = 158,893.76/x
  3. Step 3: Cross multiply
    458,518.40x = 687,433.44 × 158,893.76
  4. Step 4: Simplify right side
    458,518.40x = 109,228,884,031.33
  5. Step 5: Solve for x
    x = 109,228,884,031.33/458,518.40
  6. Step 6: Final answer
    x = 238,221.38

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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.