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Finding the Fourth Proportional to 314,250.63, 433,665.06 and 171,010.64

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Solution

The fourth proportional to 314,250.63, 433,665.06 and 171,010.64 is: 235,994.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,250.63 : 433,665.06 = 171,010.64 : x
  2. Step 2: Convert to fraction form
    314,250.63/433,665.06 = 171,010.64/x
  3. Step 3: Cross multiply
    314,250.63x = 433,665.06 × 171,010.64
  4. Step 4: Simplify right side
    314,250.63x = 74,161,337,287.91
  5. Step 5: Solve for x
    x = 74,161,337,287.91/314,250.63
  6. Step 6: Final answer
    x = 235,994.24

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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.