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Finding the Fourth Proportional to 564,354.25, 846,808.14 and 264,859.18

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Solution

The fourth proportional to 564,354.25, 846,808.14 and 264,859.18 is: 397,418.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,354.25 : 846,808.14 = 264,859.18 : x
  2. Step 2: Convert to fraction form
    564,354.25/846,808.14 = 264,859.18/x
  3. Step 3: Cross multiply
    564,354.25x = 846,808.14 × 264,859.18
  4. Step 4: Simplify right side
    564,354.25x = 224,284,909,577.73
  5. Step 5: Solve for x
    x = 224,284,909,577.73/564,354.25
  6. Step 6: Final answer
    x = 397,418.66

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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.