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Finding the Fourth Proportional to 472,873.80, 709,310.70 and 434,166.60

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Solution

The fourth proportional to 472,873.80, 709,310.70 and 434,166.60 is: 651,249.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,873.80 : 709,310.70 = 434,166.60 : x
  2. Step 2: Convert to fraction form
    472,873.80/709,310.70 = 434,166.60/x
  3. Step 3: Cross multiply
    472,873.80x = 709,310.70 × 434,166.60
  4. Step 4: Simplify right side
    472,873.80x = 307,959,014,962.62
  5. Step 5: Solve for x
    x = 307,959,014,962.62/472,873.80
  6. Step 6: Final answer
    x = 651,249.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.