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Finding the Fourth Proportional to 523,900.86, 785,856.78 and 419,384.22

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Solution

The fourth proportional to 523,900.86, 785,856.78 and 419,384.22 is: 629,080.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,900.86 : 785,856.78 = 419,384.22 : x
  2. Step 2: Convert to fraction form
    523,900.86/785,856.78 = 419,384.22/x
  3. Step 3: Cross multiply
    523,900.86x = 785,856.78 × 419,384.22
  4. Step 4: Simplify right side
    523,900.86x = 329,575,932,712.01
  5. Step 5: Solve for x
    x = 329,575,932,712.01/523,900.86
  6. Step 6: Final answer
    x = 629,080.72

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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.