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Finding the Fourth Proportional to 415,200.58, 572,858.28 and 233,849.14

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Solution

The fourth proportional to 415,200.58, 572,858.28 and 233,849.14 is: 322,645.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,200.58 : 572,858.28 = 233,849.14 : x
  2. Step 2: Convert to fraction form
    415,200.58/572,858.28 = 233,849.14/x
  3. Step 3: Cross multiply
    415,200.58x = 572,858.28 × 233,849.14
  4. Step 4: Simplify right side
    415,200.58x = 133,962,416,119.88
  5. Step 5: Solve for x
    x = 133,962,416,119.88/415,200.58
  6. Step 6: Final answer
    x = 322,645.06

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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.