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Finding the Fourth Proportional to 297,429.29, 410,409.09 and 170,080.28

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Solution

The fourth proportional to 297,429.29, 410,409.09 and 170,080.28 is: 234,686.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,429.29 : 410,409.09 = 170,080.28 : x
  2. Step 2: Convert to fraction form
    297,429.29/410,409.09 = 170,080.28/x
  3. Step 3: Cross multiply
    297,429.29x = 410,409.09 × 170,080.28
  4. Step 4: Simplify right side
    297,429.29x = 69,802,490,889.70
  5. Step 5: Solve for x
    x = 69,802,490,889.70/297,429.29
  6. Step 6: Final answer
    x = 234,686.01

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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.