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Finding the Fourth Proportional to 314,265, 433,687.02 and 171,024.86

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Solution

The fourth proportional to 314,265, 433,687.02 and 171,024.86 is: 236,015.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,265 : 433,687.02 = 171,024.86 : x
  2. Step 2: Convert to fraction form
    314,265/433,687.02 = 171,024.86/x
  3. Step 3: Cross multiply
    314,265x = 433,687.02 × 171,024.86
  4. Step 4: Simplify right side
    314,265x = 74,171,261,879.32
  5. Step 5: Solve for x
    x = 74,171,261,879.32/314,265
  6. Step 6: Final answer
    x = 236,015.03

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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.