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Finding the Fourth Proportional to 314,297.72, 433,729.56 and 171,057.74

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Solution

The fourth proportional to 314,297.72, 433,729.56 and 171,057.74 is: 236,058.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,297.72 : 433,729.56 = 171,057.74 : x
  2. Step 2: Convert to fraction form
    314,297.72/433,729.56 = 171,057.74/x
  3. Step 3: Cross multiply
    314,297.72x = 433,729.56 × 171,057.74
  4. Step 4: Simplify right side
    314,297.72x = 74,192,798,304.79
  5. Step 5: Solve for x
    x = 74,192,798,304.79/314,297.72
  6. Step 6: Final answer
    x = 236,058.98

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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.