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Finding the Fourth Proportional to 350,907.40, 524,825.10 and 313,736.20

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Solution

The fourth proportional to 350,907.40, 524,825.10 and 313,736.20 is: 469,231.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,907.40 : 524,825.10 = 313,736.20 : x
  2. Step 2: Convert to fraction form
    350,907.40/524,825.10 = 313,736.20/x
  3. Step 3: Cross multiply
    350,907.40x = 524,825.10 × 313,736.20
  4. Step 4: Simplify right side
    350,907.40x = 164,656,632,538.62
  5. Step 5: Solve for x
    x = 164,656,632,538.62/350,907.40
  6. Step 6: Final answer
    x = 469,231.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.