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Finding the Fourth Proportional to 458,051.80, 687,077.70 and 205,331.80

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Solution

The fourth proportional to 458,051.80, 687,077.70 and 205,331.80 is: 307,997.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,051.80 : 687,077.70 = 205,331.80 : x
  2. Step 2: Convert to fraction form
    458,051.80/687,077.70 = 205,331.80/x
  3. Step 3: Cross multiply
    458,051.80x = 687,077.70 × 205,331.80
  4. Step 4: Simplify right side
    458,051.80x = 141,078,900,880.86
  5. Step 5: Solve for x
    x = 141,078,900,880.86/458,051.80
  6. Step 6: Final answer
    x = 307,997.70

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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.