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Finding the Fourth Proportional to 314,343.82, 433,782.41 and 178,369.66

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Solution

The fourth proportional to 314,343.82, 433,782.41 and 178,369.66 is: 246,143.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,343.82 : 433,782.41 = 178,369.66 : x
  2. Step 2: Convert to fraction form
    314,343.82/433,782.41 = 178,369.66/x
  3. Step 3: Cross multiply
    314,343.82x = 433,782.41 × 178,369.66
  4. Step 4: Simplify right side
    314,343.82x = 77,373,620,636.06
  5. Step 5: Solve for x
    x = 77,373,620,636.06/314,343.82
  6. Step 6: Final answer
    x = 246,143.28

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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.