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Finding the Fourth Proportional to 314,143.52, 433,485.70 and 186,794.52

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Solution

The fourth proportional to 314,143.52, 433,485.70 and 186,794.52 is: 257,757.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,143.52 : 433,485.70 = 186,794.52 : x
  2. Step 2: Convert to fraction form
    314,143.52/433,485.70 = 186,794.52/x
  3. Step 3: Cross multiply
    314,143.52x = 433,485.70 × 186,794.52
  4. Step 4: Simplify right side
    314,143.52x = 80,972,753,258.36
  5. Step 5: Solve for x
    x = 80,972,753,258.36/314,143.52
  6. Step 6: Final answer
    x = 257,757.20

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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.