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Finding the Fourth Proportional to 297,606.98, 410,698.80 and 161,643.19

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Solution

The fourth proportional to 297,606.98, 410,698.80 and 161,643.19 is: 223,068.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,606.98 : 410,698.80 = 161,643.19 : x
  2. Step 2: Convert to fraction form
    297,606.98/410,698.80 = 161,643.19/x
  3. Step 3: Cross multiply
    297,606.98x = 410,698.80 × 161,643.19
  4. Step 4: Simplify right side
    297,606.98x = 66,386,664,161.17
  5. Step 5: Solve for x
    x = 66,386,664,161.17/297,606.98
  6. Step 6: Final answer
    x = 223,068.24

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