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Finding the Fourth Proportional to 680,538.89, 1,020,217.82 and 343,298.03

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Solution

The fourth proportional to 680,538.89, 1,020,217.82 and 343,298.03 is: 514,649.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,538.89 : 1,020,217.82 = 343,298.03 : x
  2. Step 2: Convert to fraction form
    680,538.89/1,020,217.82 = 343,298.03/x
  3. Step 3: Cross multiply
    680,538.89x = 1,020,217.82 × 343,298.03
  4. Step 4: Simplify right side
    680,538.89x = 350,238,760,959.32
  5. Step 5: Solve for x
    x = 350,238,760,959.32/680,538.89
  6. Step 6: Final answer
    x = 514,649.15

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