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Finding the Fourth Proportional to 357,546.80, 493,010.22 and 228,315.34

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Solution

The fourth proportional to 357,546.80, 493,010.22 and 228,315.34 is: 314,816.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,546.80 : 493,010.22 = 228,315.34 : x
  2. Step 2: Convert to fraction form
    357,546.80/493,010.22 = 228,315.34/x
  3. Step 3: Cross multiply
    357,546.80x = 493,010.22 × 228,315.34
  4. Step 4: Simplify right side
    357,546.80x = 112,561,796,002.78
  5. Step 5: Solve for x
    x = 112,561,796,002.78/357,546.80
  6. Step 6: Final answer
    x = 314,816.96

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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.