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Finding the Fourth Proportional to 476,539.92, 714,599.94 and 223,892.22

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Solution

The fourth proportional to 476,539.92, 714,599.94 and 223,892.22 is: 335,739.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,539.92 : 714,599.94 = 223,892.22 : x
  2. Step 2: Convert to fraction form
    476,539.92/714,599.94 = 223,892.22/x
  3. Step 3: Cross multiply
    476,539.92x = 714,599.94 × 223,892.22
  4. Step 4: Simplify right side
    476,539.92x = 159,993,366,978.47
  5. Step 5: Solve for x
    x = 159,993,366,978.47/476,539.92
  6. Step 6: Final answer
    x = 335,739.69

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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.