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Finding the Fourth Proportional to 314,391.75, 433,859.90 and 171,152.79

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Solution

The fourth proportional to 314,391.75, 433,859.90 and 171,152.79 is: 236,190.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,391.75 : 433,859.90 = 171,152.79 : x
  2. Step 2: Convert to fraction form
    314,391.75/433,859.90 = 171,152.79/x
  3. Step 3: Cross multiply
    314,391.75x = 433,859.90 × 171,152.79
  4. Step 4: Simplify right side
    314,391.75x = 74,256,331,498.36
  5. Step 5: Solve for x
    x = 74,256,331,498.36/314,391.75
  6. Step 6: Final answer
    x = 236,190.46

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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.