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Finding the Fourth Proportional to 331,762.40, 497,643.60 and 82,444.40

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Solution

The fourth proportional to 331,762.40, 497,643.60 and 82,444.40 is: 123,666.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,762.40 : 497,643.60 = 82,444.40 : x
  2. Step 2: Convert to fraction form
    331,762.40/497,643.60 = 82,444.40/x
  3. Step 3: Cross multiply
    331,762.40x = 497,643.60 × 82,444.40
  4. Step 4: Simplify right side
    331,762.40x = 41,027,928,015.84
  5. Step 5: Solve for x
    x = 41,027,928,015.84/331,762.40
  6. Step 6: Final answer
    x = 123,666.60

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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.