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Finding the Fourth Proportional to 299,574.81, 413,416.04 and 170,506.96

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Solution

The fourth proportional to 299,574.81, 413,416.04 and 170,506.96 is: 235,301.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,574.81 : 413,416.04 = 170,506.96 : x
  2. Step 2: Convert to fraction form
    299,574.81/413,416.04 = 170,506.96/x
  3. Step 3: Cross multiply
    299,574.81x = 413,416.04 × 170,506.96
  4. Step 4: Simplify right side
    299,574.81x = 70,490,310,309.56
  5. Step 5: Solve for x
    x = 70,490,310,309.56/299,574.81
  6. Step 6: Final answer
    x = 235,301.19

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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.