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Finding the Fourth Proportional to 314,172.42, 433,524.96 and 178,162.89

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Solution

The fourth proportional to 314,172.42, 433,524.96 and 178,162.89 is: 245,846.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,172.42 : 433,524.96 = 178,162.89 : x
  2. Step 2: Convert to fraction form
    314,172.42/433,524.96 = 178,162.89/x
  3. Step 3: Cross multiply
    314,172.42x = 433,524.96 × 178,162.89
  4. Step 4: Simplify right side
    314,172.42x = 77,238,059,760.73
  5. Step 5: Solve for x
    x = 77,238,059,760.73/314,172.42
  6. Step 6: Final answer
    x = 245,846.09

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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.