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Finding the Fourth Proportional to 407,771.88, 611,657.82 and 127,313.16

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Solution

The fourth proportional to 407,771.88, 611,657.82 and 127,313.16 is: 190,969.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,771.88 : 611,657.82 = 127,313.16 : x
  2. Step 2: Convert to fraction form
    407,771.88/611,657.82 = 127,313.16/x
  3. Step 3: Cross multiply
    407,771.88x = 611,657.82 × 127,313.16
  4. Step 4: Simplify right side
    407,771.88x = 77,872,089,902.91
  5. Step 5: Solve for x
    x = 77,872,089,902.91/407,771.88
  6. Step 6: Final answer
    x = 190,969.74

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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.