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Finding the Fourth Proportional to 314,898.20, 434,556.70 and 171,658.20

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Solution

The fourth proportional to 314,898.20, 434,556.70 and 171,658.20 is: 236,886.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,898.20 : 434,556.70 = 171,658.20 : x
  2. Step 2: Convert to fraction form
    314,898.20/434,556.70 = 171,658.20/x
  3. Step 3: Cross multiply
    314,898.20x = 434,556.70 × 171,658.20
  4. Step 4: Simplify right side
    314,898.20x = 74,595,220,919.94
  5. Step 5: Solve for x
    x = 74,595,220,919.94/314,898.20
  6. Step 6: Final answer
    x = 236,886.78

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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.