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Finding the Fourth Proportional to 349,102.20, 523,653.30 and 313,672.80

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Solution

The fourth proportional to 349,102.20, 523,653.30 and 313,672.80 is: 470,509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,102.20 : 523,653.30 = 313,672.80 : x
  2. Step 2: Convert to fraction form
    349,102.20/523,653.30 = 313,672.80/x
  3. Step 3: Cross multiply
    349,102.20x = 523,653.30 × 313,672.80
  4. Step 4: Simplify right side
    349,102.20x = 164,255,796,840.24
  5. Step 5: Solve for x
    x = 164,255,796,840.24/349,102.20
  6. Step 6: Final answer
    x = 470,509.20

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