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Finding the Fourth Proportional to 314,998.68, 434,697.12 and 171,758.37

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Solution

The fourth proportional to 314,998.68, 434,697.12 and 171,758.37 is: 237,025.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,998.68 : 434,697.12 = 171,758.37 : x
  2. Step 2: Convert to fraction form
    314,998.68/434,697.12 = 171,758.37/x
  3. Step 3: Cross multiply
    314,998.68x = 434,697.12 × 171,758.37
  4. Step 4: Simplify right side
    314,998.68x = 74,662,868,774.89
  5. Step 5: Solve for x
    x = 74,662,868,774.89/314,998.68
  6. Step 6: Final answer
    x = 237,025.97

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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.