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Finding the Fourth Proportional to 413,003.92, 570,050.16 and 282,234.58

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Solution

The fourth proportional to 413,003.92, 570,050.16 and 282,234.58 is: 389,555.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,003.92 : 570,050.16 = 282,234.58 : x
  2. Step 2: Convert to fraction form
    413,003.92/570,050.16 = 282,234.58/x
  3. Step 3: Cross multiply
    413,003.92x = 570,050.16 × 282,234.58
  4. Step 4: Simplify right side
    413,003.92x = 160,887,867,486.53
  5. Step 5: Solve for x
    x = 160,887,867,486.53/413,003.92
  6. Step 6: Final answer
    x = 389,555.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.