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Finding the Fourth Proportional to 497,739.06, 746,611.47 and 123,762.06

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Solution

The fourth proportional to 497,739.06, 746,611.47 and 123,762.06 is: 185,643.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,739.06 : 746,611.47 = 123,762.06 : x
  2. Step 2: Convert to fraction form
    497,739.06/746,611.47 = 123,762.06/x
  3. Step 3: Cross multiply
    497,739.06x = 746,611.47 × 123,762.06
  4. Step 4: Simplify right side
    497,739.06x = 92,402,173,546.83
  5. Step 5: Solve for x
    x = 92,402,173,546.83/497,739.06
  6. Step 6: Final answer
    x = 185,643.81

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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.