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Finding the Fourth Proportional to 314,816.57, 434,434.21 and 171,573.54

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Solution

The fourth proportional to 314,816.57, 434,434.21 and 171,573.54 is: 236,764.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,816.57 : 434,434.21 = 171,573.54 : x
  2. Step 2: Convert to fraction form
    314,816.57/434,434.21 = 171,573.54/x
  3. Step 3: Cross multiply
    314,816.57x = 434,434.21 × 171,573.54
  4. Step 4: Simplify right side
    314,816.57x = 74,537,415,306.80
  5. Step 5: Solve for x
    x = 74,537,415,306.80/314,816.57
  6. Step 6: Final answer
    x = 236,764.59

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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.