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Finding the Fourth Proportional to 314,375.58, 433,820.61 and 171,127.08

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Solution

The fourth proportional to 314,375.58, 433,820.61 and 171,127.08 is: 236,145.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,375.58 : 433,820.61 = 171,127.08 : x
  2. Step 2: Convert to fraction form
    314,375.58/433,820.61 = 171,127.08/x
  3. Step 3: Cross multiply
    314,375.58x = 433,820.61 × 171,127.08
  4. Step 4: Simplify right side
    314,375.58x = 74,238,454,233.12
  5. Step 5: Solve for x
    x = 74,238,454,233.12/314,375.58
  6. Step 6: Final answer
    x = 236,145.74

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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.