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Finding the Fourth Proportional to 314,389.75, 433,857.13 and 171,150.79

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Solution

The fourth proportional to 314,389.75, 433,857.13 and 171,150.79 is: 236,187.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,389.75 : 433,857.13 = 171,150.79 : x
  2. Step 2: Convert to fraction form
    314,389.75/433,857.13 = 171,150.79/x
  3. Step 3: Cross multiply
    314,389.75x = 433,857.13 × 171,150.79
  4. Step 4: Simplify right side
    314,389.75x = 74,254,990,546.63
  5. Step 5: Solve for x
    x = 74,254,990,546.63/314,389.75
  6. Step 6: Final answer
    x = 236,187.70

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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.