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Finding the Fourth Proportional to 680,297.13, 1,020,593.32 and 206,970.19

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Solution

The fourth proportional to 680,297.13, 1,020,593.32 and 206,970.19 is: 310,500.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,297.13 : 1,020,593.32 = 206,970.19 : x
  2. Step 2: Convert to fraction form
    680,297.13/1,020,593.32 = 206,970.19/x
  3. Step 3: Cross multiply
    680,297.13x = 1,020,593.32 × 206,970.19
  4. Step 4: Simplify right side
    680,297.13x = 211,232,390,284.22
  5. Step 5: Solve for x
    x = 211,232,390,284.22/680,297.13
  6. Step 6: Final answer
    x = 310,500.19

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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.