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Finding the Fourth Proportional to 299,732.23, 413,610.64 and 170,683.88

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Solution

The fourth proportional to 299,732.23, 413,610.64 and 170,683.88 is: 235,532.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,732.23 : 413,610.64 = 170,683.88 : x
  2. Step 2: Convert to fraction form
    299,732.23/413,610.64 = 170,683.88/x
  3. Step 3: Cross multiply
    299,732.23x = 413,610.64 × 170,683.88
  4. Step 4: Simplify right side
    299,732.23x = 70,596,666,349.72
  5. Step 5: Solve for x
    x = 70,596,666,349.72/299,732.23
  6. Step 6: Final answer
    x = 235,532.45

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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.