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Finding the Fourth Proportional to 467,094.52, 700,615.86 and 415,099

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Solution

The fourth proportional to 467,094.52, 700,615.86 and 415,099 is: 622,625.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,094.52 : 700,615.86 = 415,099 : x
  2. Step 2: Convert to fraction form
    467,094.52/700,615.86 = 415,099/x
  3. Step 3: Cross multiply
    467,094.52x = 700,615.86 × 415,099
  4. Step 4: Simplify right side
    467,094.52x = 290,824,942,870.14
  5. Step 5: Solve for x
    x = 290,824,942,870.14/467,094.52
  6. Step 6: Final answer
    x = 622,625.47

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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.