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Finding the Fourth Proportional to 537,730.20, 806,595.30 and 514,110.60

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Solution

The fourth proportional to 537,730.20, 806,595.30 and 514,110.60 is: 771,165.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,730.20 : 806,595.30 = 514,110.60 : x
  2. Step 2: Convert to fraction form
    537,730.20/806,595.30 = 514,110.60/x
  3. Step 3: Cross multiply
    537,730.20x = 806,595.30 × 514,110.60
  4. Step 4: Simplify right side
    537,730.20x = 414,679,193,640.18
  5. Step 5: Solve for x
    x = 414,679,193,640.18/537,730.20
  6. Step 6: Final answer
    x = 771,165.90

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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.