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Finding the Fourth Proportional to 313,880.64, 433,189.10 and 177,899.97

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Solution

The fourth proportional to 313,880.64, 433,189.10 and 177,899.97 is: 245,521.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,880.64 : 433,189.10 = 177,899.97 : x
  2. Step 2: Convert to fraction form
    313,880.64/433,189.10 = 177,899.97/x
  3. Step 3: Cross multiply
    313,880.64x = 433,189.10 × 177,899.97
  4. Step 4: Simplify right side
    313,880.64x = 77,064,326,047.49
  5. Step 5: Solve for x
    x = 77,064,326,047.49/313,880.64
  6. Step 6: Final answer
    x = 245,521.12

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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.