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Finding the Fourth Proportional to 419,126.32, 578,393.72 and 228,139.12

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Solution

The fourth proportional to 419,126.32, 578,393.72 and 228,139.12 is: 314,831.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,126.32 : 578,393.72 = 228,139.12 : x
  2. Step 2: Convert to fraction form
    419,126.32/578,393.72 = 228,139.12/x
  3. Step 3: Cross multiply
    419,126.32x = 578,393.72 × 228,139.12
  4. Step 4: Simplify right side
    419,126.32x = 131,954,234,294.33
  5. Step 5: Solve for x
    x = 131,954,234,294.33/419,126.32
  6. Step 6: Final answer
    x = 314,831.66

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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.