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Finding the Fourth Proportional to 458,051.60, 687,077.40 and 234,102.80

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Solution

The fourth proportional to 458,051.60, 687,077.40 and 234,102.80 is: 351,154.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,051.60 : 687,077.40 = 234,102.80 : x
  2. Step 2: Convert to fraction form
    458,051.60/687,077.40 = 234,102.80/x
  3. Step 3: Cross multiply
    458,051.60x = 687,077.40 × 234,102.80
  4. Step 4: Simplify right side
    458,051.60x = 160,846,743,156.72
  5. Step 5: Solve for x
    x = 160,846,743,156.72/458,051.60
  6. Step 6: Final answer
    x = 351,154.20

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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.