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Finding the Fourth Proportional to 351,010.80, 526,516.20 and 314,269.20

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Solution

The fourth proportional to 351,010.80, 526,516.20 and 314,269.20 is: 471,403.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,010.80 : 526,516.20 = 314,269.20 : x
  2. Step 2: Convert to fraction form
    351,010.80/526,516.20 = 314,269.20/x
  3. Step 3: Cross multiply
    351,010.80x = 526,516.20 × 314,269.20
  4. Step 4: Simplify right side
    351,010.80x = 165,467,824,961.04
  5. Step 5: Solve for x
    x = 165,467,824,961.04/351,010.80
  6. Step 6: Final answer
    x = 471,403.80

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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.