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Finding the Fourth Proportional to 299,575.81, 413,417.42 and 170,507.96

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Solution

The fourth proportional to 299,575.81, 413,417.42 and 170,507.96 is: 235,302.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,575.81 : 413,417.42 = 170,507.96 : x
  2. Step 2: Convert to fraction form
    299,575.81/413,417.42 = 170,507.96/x
  3. Step 3: Cross multiply
    299,575.81x = 413,417.42 × 170,507.96
  4. Step 4: Simplify right side
    299,575.81x = 70,490,960,912.66
  5. Step 5: Solve for x
    x = 70,490,960,912.66/299,575.81
  6. Step 6: Final answer
    x = 235,302.58

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1.5x scale

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.