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Finding the Fourth Proportional to 564,354.13, 846,807.96 and 264,859.06

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Solution

The fourth proportional to 564,354.13, 846,807.96 and 264,859.06 is: 397,418.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,354.13 : 846,807.96 = 264,859.06 : x
  2. Step 2: Convert to fraction form
    564,354.13/846,807.96 = 264,859.06/x
  3. Step 3: Cross multiply
    564,354.13x = 846,807.96 × 264,859.06
  4. Step 4: Simplify right side
    564,354.13x = 224,284,760,286.12
  5. Step 5: Solve for x
    x = 224,284,760,286.12/564,354.13
  6. Step 6: Final answer
    x = 397,418.48

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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.