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Finding the Fourth Proportional to 313,953.66, 433,246.97 and 178,000.22

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Solution

The fourth proportional to 313,953.66, 433,246.97 and 178,000.22 is: 245,635.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,953.66 : 433,246.97 = 178,000.22 : x
  2. Step 2: Convert to fraction form
    313,953.66/433,246.97 = 178,000.22/x
  3. Step 3: Cross multiply
    313,953.66x = 433,246.97 × 178,000.22
  4. Step 4: Simplify right side
    313,953.66x = 77,118,052,918.10
  5. Step 5: Solve for x
    x = 77,118,052,918.10/313,953.66
  6. Step 6: Final answer
    x = 245,635.15

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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.