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Finding the Fourth Proportional to 407,625.06, 611,566.74 and 317,975.15

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Solution

The fourth proportional to 407,625.06, 611,566.74 and 317,975.15 is: 477,063.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,625.06 : 611,566.74 = 317,975.15 : x
  2. Step 2: Convert to fraction form
    407,625.06/611,566.74 = 317,975.15/x
  3. Step 3: Cross multiply
    407,625.06x = 611,566.74 × 317,975.15
  4. Step 4: Simplify right side
    407,625.06x = 194,463,022,828.68
  5. Step 5: Solve for x
    x = 194,463,022,828.68/407,625.06
  6. Step 6: Final answer
    x = 477,063.46

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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.