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Finding the Fourth Proportional to 354,213.40, 531,320.10 and 301,069.30

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Solution

The fourth proportional to 354,213.40, 531,320.10 and 301,069.30 is: 451,603.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,213.40 : 531,320.10 = 301,069.30 : x
  2. Step 2: Convert to fraction form
    354,213.40/531,320.10 = 301,069.30/x
  3. Step 3: Cross multiply
    354,213.40x = 531,320.10 × 301,069.30
  4. Step 4: Simplify right side
    354,213.40x = 159,964,170,582.93
  5. Step 5: Solve for x
    x = 159,964,170,582.93/354,213.40
  6. Step 6: Final answer
    x = 451,603.95

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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.