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Finding the Fourth Proportional to 314,464.92, 433,955.97 and 171,222.36

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Solution

The fourth proportional to 314,464.92, 433,955.97 and 171,222.36 is: 236,283.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,464.92 : 433,955.97 = 171,222.36 : x
  2. Step 2: Convert to fraction form
    314,464.92/433,955.97 = 171,222.36/x
  3. Step 3: Cross multiply
    314,464.92x = 433,955.97 × 171,222.36
  4. Step 4: Simplify right side
    314,464.92x = 74,302,965,319.49
  5. Step 5: Solve for x
    x = 74,302,965,319.49/314,464.92
  6. Step 6: Final answer
    x = 236,283.80

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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.