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Finding the Fourth Proportional to 313,914.61, 433,216.97 and 177,951.20

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Solution

The fourth proportional to 313,914.61, 433,216.97 and 177,951.20 is: 245,581.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,914.61 : 433,216.97 = 177,951.20 : x
  2. Step 2: Convert to fraction form
    313,914.61/433,216.97 = 177,951.20/x
  3. Step 3: Cross multiply
    313,914.61x = 433,216.97 × 177,951.20
  4. Step 4: Simplify right side
    313,914.61x = 77,091,477,283.34
  5. Step 5: Solve for x
    x = 77,091,477,283.34/313,914.61
  6. Step 6: Final answer
    x = 245,581.04

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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.