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Finding the Fourth Proportional to 577,314.20, 867,008.10 and 419,720.60

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Solution

The fourth proportional to 577,314.20, 867,008.10 and 419,720.60 is: 630,334.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,314.20 : 867,008.10 = 419,720.60 : x
  2. Step 2: Convert to fraction form
    577,314.20/867,008.10 = 419,720.60/x
  3. Step 3: Cross multiply
    577,314.20x = 867,008.10 × 419,720.60
  4. Step 4: Simplify right side
    577,314.20x = 363,901,159,936.86
  5. Step 5: Solve for x
    x = 363,901,159,936.86/577,314.20
  6. Step 6: Final answer
    x = 630,334.68

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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.