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Finding the Fourth Proportional to 471,922.16, 707,609.86 and 322,343.20

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Solution

The fourth proportional to 471,922.16, 707,609.86 and 322,343.20 is: 483,328.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,922.16 : 707,609.86 = 322,343.20 : x
  2. Step 2: Convert to fraction form
    471,922.16/707,609.86 = 322,343.20/x
  3. Step 3: Cross multiply
    471,922.16x = 707,609.86 × 322,343.20
  4. Step 4: Simplify right side
    471,922.16x = 228,093,226,702.61
  5. Step 5: Solve for x
    x = 228,093,226,702.61/471,922.16
  6. Step 6: Final answer
    x = 483,328.07

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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.