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Finding the Fourth Proportional to 349,907.20, 523,853.96 and 313,396.02

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Solution

The fourth proportional to 349,907.20, 523,853.96 and 313,396.02 is: 469,192.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,907.20 : 523,853.96 = 313,396.02 : x
  2. Step 2: Convert to fraction form
    349,907.20/523,853.96 = 313,396.02/x
  3. Step 3: Cross multiply
    349,907.20x = 523,853.96 × 313,396.02
  4. Step 4: Simplify right side
    349,907.20x = 164,173,744,558.26
  5. Step 5: Solve for x
    x = 164,173,744,558.26/349,907.20
  6. Step 6: Final answer
    x = 469,192.25

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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.