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Finding the Fourth Proportional to 419,075.34, 578,336.25 and 228,101.10

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Solution

The fourth proportional to 419,075.34, 578,336.25 and 228,101.10 is: 314,786.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,075.34 : 578,336.25 = 228,101.10 : x
  2. Step 2: Convert to fraction form
    419,075.34/578,336.25 = 228,101.10/x
  3. Step 3: Cross multiply
    419,075.34x = 578,336.25 × 228,101.10
  4. Step 4: Simplify right side
    419,075.34x = 131,919,134,794.88
  5. Step 5: Solve for x
    x = 131,919,134,794.88/419,075.34
  6. Step 6: Final answer
    x = 314,786.20

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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.