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Finding the Fourth Proportional to 314,716.80, 434,312.38 and 171,479.24

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Solution

The fourth proportional to 314,716.80, 434,312.38 and 171,479.24 is: 236,643.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,716.80 : 434,312.38 = 171,479.24 : x
  2. Step 2: Convert to fraction form
    314,716.80/434,312.38 = 171,479.24/x
  3. Step 3: Cross multiply
    314,716.80x = 434,312.38 × 171,479.24
  4. Step 4: Simplify right side
    314,716.80x = 74,475,556,844.99
  5. Step 5: Solve for x
    x = 74,475,556,844.99/314,716.80
  6. Step 6: Final answer
    x = 236,643.09

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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.