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Finding the Fourth Proportional to 314,255.33, 433,671.54 and 171,015.33

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Solution

The fourth proportional to 314,255.33, 433,671.54 and 171,015.33 is: 236,000.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,255.33 : 433,671.54 = 171,015.33 : x
  2. Step 2: Convert to fraction form
    314,255.33/433,671.54 = 171,015.33/x
  3. Step 3: Cross multiply
    314,255.33x = 433,671.54 × 171,015.33
  4. Step 4: Simplify right side
    314,255.33x = 74,164,481,524.71
  5. Step 5: Solve for x
    x = 74,164,481,524.71/314,255.33
  6. Step 6: Final answer
    x = 236,000.72

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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.