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Finding the Fourth Proportional to 564,288.85, 846,670.74 and 351,234.96

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Solution

The fourth proportional to 564,288.85, 846,670.74 and 351,234.96 is: 527,000.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,288.85 : 846,670.74 = 351,234.96 : x
  2. Step 2: Convert to fraction form
    564,288.85/846,670.74 = 351,234.96/x
  3. Step 3: Cross multiply
    564,288.85x = 846,670.74 × 351,234.96
  4. Step 4: Simplify right side
    564,288.85x = 297,380,363,497.07
  5. Step 5: Solve for x
    x = 297,380,363,497.07/564,288.85
  6. Step 6: Final answer
    x = 527,000.25

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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.