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Finding the Fourth Proportional to 537,732.20, 806,598.30 and 514,112.60

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Solution

The fourth proportional to 537,732.20, 806,598.30 and 514,112.60 is: 771,168.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,732.20 : 806,598.30 = 514,112.60 : x
  2. Step 2: Convert to fraction form
    537,732.20/806,598.30 = 514,112.60/x
  3. Step 3: Cross multiply
    537,732.20x = 806,598.30 × 514,112.60
  4. Step 4: Simplify right side
    537,732.20x = 414,682,349,168.58
  5. Step 5: Solve for x
    x = 414,682,349,168.58/537,732.20
  6. Step 6: Final answer
    x = 771,168.90

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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.