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Finding the Fourth Proportional to 349,870.20, 524,027.70 and 303,214.20

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Solution

The fourth proportional to 349,870.20, 524,027.70 and 303,214.20 is: 454,147.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,870.20 : 524,027.70 = 303,214.20 : x
  2. Step 2: Convert to fraction form
    349,870.20/524,027.70 = 303,214.20/x
  3. Step 3: Cross multiply
    349,870.20x = 524,027.70 × 303,214.20
  4. Step 4: Simplify right side
    349,870.20x = 158,892,639,833.34
  5. Step 5: Solve for x
    x = 158,892,639,833.34/349,870.20
  6. Step 6: Final answer
    x = 454,147.39

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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.