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Finding the Fourth Proportional to 314,241.46, 433,662.34 and 171,010.74

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Solution

The fourth proportional to 314,241.46, 433,662.34 and 171,010.74 is: 235,999.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,241.46 : 433,662.34 = 171,010.74 : x
  2. Step 2: Convert to fraction form
    314,241.46/433,662.34 = 171,010.74/x
  3. Step 3: Cross multiply
    314,241.46x = 433,662.34 × 171,010.74
  4. Step 4: Simplify right side
    314,241.46x = 74,160,917,673.53
  5. Step 5: Solve for x
    x = 74,160,917,673.53/314,241.46
  6. Step 6: Final answer
    x = 235,999.79

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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.