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Finding the Fourth Proportional to 537,548.61, 806,821.14 and 271,495.96

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Solution

The fourth proportional to 537,548.61, 806,821.14 and 271,495.96 is: 407,495.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,548.61 : 806,821.14 = 271,495.96 : x
  2. Step 2: Convert to fraction form
    537,548.61/806,821.14 = 271,495.96/x
  3. Step 3: Cross multiply
    537,548.61x = 806,821.14 × 271,495.96
  4. Step 4: Simplify right side
    537,548.61x = 219,048,679,952.59
  5. Step 5: Solve for x
    x = 219,048,679,952.59/537,548.61
  6. Step 6: Final answer
    x = 407,495.58

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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.