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Finding the Fourth Proportional to 419,096.30, 578,402.13 and 235,365.06

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Solution

The fourth proportional to 419,096.30, 578,402.13 and 235,365.06 is: 324,831.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,096.30 : 578,402.13 = 235,365.06 : x
  2. Step 2: Convert to fraction form
    419,096.30/578,402.13 = 235,365.06/x
  3. Step 3: Cross multiply
    419,096.30x = 578,402.13 × 235,365.06
  4. Step 4: Simplify right side
    419,096.30x = 136,135,652,031.58
  5. Step 5: Solve for x
    x = 136,135,652,031.58/419,096.30
  6. Step 6: Final answer
    x = 324,831.44

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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.