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Finding the Fourth Proportional to 415,858.84, 573,888.63 and 229,596.30

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Solution

The fourth proportional to 415,858.84, 573,888.63 and 229,596.30 is: 316,844.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,858.84 : 573,888.63 = 229,596.30 : x
  2. Step 2: Convert to fraction form
    415,858.84/573,888.63 = 229,596.30/x
  3. Step 3: Cross multiply
    415,858.84x = 573,888.63 × 229,596.30
  4. Step 4: Simplify right side
    415,858.84x = 131,762,706,060.07
  5. Step 5: Solve for x
    x = 131,762,706,060.07/415,858.84
  6. Step 6: Final answer
    x = 316,844.79

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