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Finding the Fourth Proportional to 299,681.56, 413,575.30 and 170,622.58

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Solution

The fourth proportional to 299,681.56, 413,575.30 and 170,622.58 is: 235,467.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,681.56 : 413,575.30 = 170,622.58 : x
  2. Step 2: Convert to fraction form
    299,681.56/413,575.30 = 170,622.58/x
  3. Step 3: Cross multiply
    299,681.56x = 413,575.30 × 170,622.58
  4. Step 4: Simplify right side
    299,681.56x = 70,565,284,710.27
  5. Step 5: Solve for x
    x = 70,565,284,710.27/299,681.56
  6. Step 6: Final answer
    x = 235,467.56

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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.