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Finding the Fourth Proportional to 419,407.08, 578,763.84 and 228,420.96

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Solution

The fourth proportional to 419,407.08, 578,763.84 and 228,420.96 is: 315,211.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,407.08 : 578,763.84 = 228,420.96 : x
  2. Step 2: Convert to fraction form
    419,407.08/578,763.84 = 228,420.96/x
  3. Step 3: Cross multiply
    419,407.08x = 578,763.84 × 228,420.96
  4. Step 4: Simplify right side
    419,407.08x = 132,201,791,946.09
  5. Step 5: Solve for x
    x = 132,201,791,946.09/419,407.08
  6. Step 6: Final answer
    x = 315,211.16

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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.