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Finding the Fourth Proportional to 413,697.80, 570,883.74 and 229,927.82

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Solution

The fourth proportional to 413,697.80, 570,883.74 and 229,927.82 is: 317,289.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,697.80 : 570,883.74 = 229,927.82 : x
  2. Step 2: Convert to fraction form
    413,697.80/570,883.74 = 229,927.82/x
  3. Step 3: Cross multiply
    413,697.80x = 570,883.74 × 229,927.82
  4. Step 4: Simplify right side
    413,697.80x = 131,262,053,811.65
  5. Step 5: Solve for x
    x = 131,262,053,811.65/413,697.80
  6. Step 6: Final answer
    x = 317,289.71

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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.