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Finding the Fourth Proportional to 407,846.82, 562,389.79 and 254,829.12

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Solution

The fourth proportional to 407,846.82, 562,389.79 and 254,829.12 is: 351,390.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,846.82 : 562,389.79 = 254,829.12 : x
  2. Step 2: Convert to fraction form
    407,846.82/562,389.79 = 254,829.12/x
  3. Step 3: Cross multiply
    407,846.82x = 562,389.79 × 254,829.12
  4. Step 4: Simplify right side
    407,846.82x = 143,313,295,282.69
  5. Step 5: Solve for x
    x = 143,313,295,282.69/407,846.82
  6. Step 6: Final answer
    x = 351,390.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.