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Finding the Fourth Proportional to 415,858.65, 573,888.38 and 229,596.11

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Solution

The fourth proportional to 415,858.65, 573,888.38 and 229,596.11 is: 316,844.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,858.65 : 573,888.38 = 229,596.11 : x
  2. Step 2: Convert to fraction form
    415,858.65/573,888.38 = 229,596.11/x
  3. Step 3: Cross multiply
    415,858.65x = 573,888.38 × 229,596.11
  4. Step 4: Simplify right side
    415,858.65x = 131,762,539,622.20
  5. Step 5: Solve for x
    x = 131,762,539,622.20/415,858.65
  6. Step 6: Final answer
    x = 316,844.53

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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.