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Finding the Fourth Proportional to 458,370.40, 687,390.90 and 158,770.30

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Solution

The fourth proportional to 458,370.40, 687,390.90 and 158,770.30 is: 238,098.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,370.40 : 687,390.90 = 158,770.30 : x
  2. Step 2: Convert to fraction form
    458,370.40/687,390.90 = 158,770.30/x
  3. Step 3: Cross multiply
    458,370.40x = 687,390.90 × 158,770.30
  4. Step 4: Simplify right side
    458,370.40x = 109,137,259,410.27
  5. Step 5: Solve for x
    x = 109,137,259,410.27/458,370.40
  6. Step 6: Final answer
    x = 238,098.40

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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.