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Finding the Fourth Proportional to 290,563.86, 400,797.14 and 199,762.19

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Solution

The fourth proportional to 290,563.86, 400,797.14 and 199,762.19 is: 275,547.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,563.86 : 400,797.14 = 199,762.19 : x
  2. Step 2: Convert to fraction form
    290,563.86/400,797.14 = 199,762.19/x
  3. Step 3: Cross multiply
    290,563.86x = 400,797.14 × 199,762.19
  4. Step 4: Simplify right side
    290,563.86x = 80,064,111,429.34
  5. Step 5: Solve for x
    x = 80,064,111,429.34/290,563.86
  6. Step 6: Final answer
    x = 275,547.38

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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.