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Finding the Fourth Proportional to 314,241.71, 433,662.69 and 171,010.99

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Solution

The fourth proportional to 314,241.71, 433,662.69 and 171,010.99 is: 236,000.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,241.71 : 433,662.69 = 171,010.99 : x
  2. Step 2: Convert to fraction form
    314,241.71/433,662.69 = 171,010.99/x
  3. Step 3: Cross multiply
    314,241.71x = 433,662.69 × 171,010.99
  4. Step 4: Simplify right side
    314,241.71x = 74,161,085,942.96
  5. Step 5: Solve for x
    x = 74,161,085,942.96/314,241.71
  6. Step 6: Final answer
    x = 236,000.13

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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.