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Finding the Fourth Proportional to 473,082.66, 709,361.46 and 157,367.34

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Solution

The fourth proportional to 473,082.66, 709,361.46 and 157,367.34 is: 235,963.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,082.66 : 709,361.46 = 157,367.34 : x
  2. Step 2: Convert to fraction form
    473,082.66/709,361.46 = 157,367.34/x
  3. Step 3: Cross multiply
    473,082.66x = 709,361.46 × 157,367.34
  4. Step 4: Simplify right side
    473,082.66x = 111,630,326,058.72
  5. Step 5: Solve for x
    x = 111,630,326,058.72/473,082.66
  6. Step 6: Final answer
    x = 235,963.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.