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Finding the Fourth Proportional to 314,142.93, 471,301.88 and 173,999.97

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Solution

The fourth proportional to 314,142.93, 471,301.88 and 173,999.97 is: 261,048.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,142.93 : 471,301.88 = 173,999.97 : x
  2. Step 2: Convert to fraction form
    314,142.93/471,301.88 = 173,999.97/x
  3. Step 3: Cross multiply
    314,142.93x = 471,301.88 × 173,999.97
  4. Step 4: Simplify right side
    314,142.93x = 82,006,512,110.94
  5. Step 5: Solve for x
    x = 82,006,512,110.94/314,142.93
  6. Step 6: Final answer
    x = 261,048.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.