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Finding the Fourth Proportional to 412,503.11, 569,208.68 and 228,737.06

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Solution

The fourth proportional to 412,503.11, 569,208.68 and 228,737.06 is: 315,631.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,503.11 : 569,208.68 = 228,737.06 : x
  2. Step 2: Convert to fraction form
    412,503.11/569,208.68 = 228,737.06/x
  3. Step 3: Cross multiply
    412,503.11x = 569,208.68 × 228,737.06
  4. Step 4: Simplify right side
    412,503.11x = 130,199,115,999.95
  5. Step 5: Solve for x
    x = 130,199,115,999.95/412,503.11
  6. Step 6: Final answer
    x = 315,631.84

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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.