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Finding the Fourth Proportional to 492,967.50, 680,295.15 and 266,613

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Solution

The fourth proportional to 492,967.50, 680,295.15 and 266,613 is: 367,925.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,967.50 : 680,295.15 = 266,613 : x
  2. Step 2: Convert to fraction form
    492,967.50/680,295.15 = 266,613/x
  3. Step 3: Cross multiply
    492,967.50x = 680,295.15 × 266,613
  4. Step 4: Simplify right side
    492,967.50x = 181,375,530,826.95
  5. Step 5: Solve for x
    x = 181,375,530,826.95/492,967.50
  6. Step 6: Final answer
    x = 367,925.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.