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Finding the Fourth Proportional to 475,924.56, 714,520.38 and 276,388.14

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Solution

The fourth proportional to 475,924.56, 714,520.38 and 276,388.14 is: 414,950.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,924.56 : 714,520.38 = 276,388.14 : x
  2. Step 2: Convert to fraction form
    475,924.56/714,520.38 = 276,388.14/x
  3. Step 3: Cross multiply
    475,924.56x = 714,520.38 × 276,388.14
  4. Step 4: Simplify right side
    475,924.56x = 197,484,958,820.29
  5. Step 5: Solve for x
    x = 197,484,958,820.29/475,924.56
  6. Step 6: Final answer
    x = 414,950.13

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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.