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Finding the Fourth Proportional to 564,287.85, 846,669.24 and 351,233.96

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Solution

The fourth proportional to 564,287.85, 846,669.24 and 351,233.96 is: 526,998.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,287.85 : 846,669.24 = 351,233.96 : x
  2. Step 2: Convert to fraction form
    564,287.85/846,669.24 = 351,233.96/x
  3. Step 3: Cross multiply
    564,287.85x = 846,669.24 × 351,233.96
  4. Step 4: Simplify right side
    564,287.85x = 297,378,985,742.04
  5. Step 5: Solve for x
    x = 297,378,985,742.04/564,287.85
  6. Step 6: Final answer
    x = 526,998.74

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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.