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Finding the Fourth Proportional to 520,075.20, 780,138.40 and 271,243.20

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Solution

The fourth proportional to 520,075.20, 780,138.40 and 271,243.20 is: 406,878.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,075.20 : 780,138.40 = 271,243.20 : x
  2. Step 2: Convert to fraction form
    520,075.20/780,138.40 = 271,243.20/x
  3. Step 3: Cross multiply
    520,075.20x = 780,138.40 × 271,243.20
  4. Step 4: Simplify right side
    520,075.20x = 211,607,236,058.88
  5. Step 5: Solve for x
    x = 211,607,236,058.88/520,075.20
  6. Step 6: Final answer
    x = 406,878.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.