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Finding the Fourth Proportional to 524,196.15, 785,266.63 and 271,642.31

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Solution

The fourth proportional to 524,196.15, 785,266.63 and 271,642.31 is: 406,930.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,196.15 : 785,266.63 = 271,642.31 : x
  2. Step 2: Convert to fraction form
    524,196.15/785,266.63 = 271,642.31/x
  3. Step 3: Cross multiply
    524,196.15x = 785,266.63 × 271,642.31
  4. Step 4: Simplify right side
    524,196.15x = 213,311,641,492.90
  5. Step 5: Solve for x
    x = 213,311,641,492.90/524,196.15
  6. Step 6: Final answer
    x = 406,930.96

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Why These Related Problems?

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