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Finding the Fourth Proportional to 524,542.95, 785,122.50 and 271,475.31

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Solution

The fourth proportional to 524,542.95, 785,122.50 and 271,475.31 is: 406,337.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,542.95 : 785,122.50 = 271,475.31 : x
  2. Step 2: Convert to fraction form
    524,542.95/785,122.50 = 271,475.31/x
  3. Step 3: Cross multiply
    524,542.95x = 785,122.50 × 271,475.31
  4. Step 4: Simplify right side
    524,542.95x = 213,141,374,075.48
  5. Step 5: Solve for x
    x = 213,141,374,075.48/524,542.95
  6. Step 6: Final answer
    x = 406,337.32

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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.