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Finding the Fourth Proportional to 419,012.34, 578,249.22 and 228,038.10

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Solution

The fourth proportional to 419,012.34, 578,249.22 and 228,038.10 is: 314,699.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,012.34 : 578,249.22 = 228,038.10 : x
  2. Step 2: Convert to fraction form
    419,012.34/578,249.22 = 228,038.10/x
  3. Step 3: Cross multiply
    419,012.34x = 578,249.22 × 228,038.10
  4. Step 4: Simplify right side
    419,012.34x = 131,862,853,455.28
  5. Step 5: Solve for x
    x = 131,862,853,455.28/419,012.34
  6. Step 6: Final answer
    x = 314,699.21

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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.