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Finding the Fourth Proportional to 497,216.64, 745,824.54 and 123,239.64

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Solution

The fourth proportional to 497,216.64, 745,824.54 and 123,239.64 is: 184,859.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,216.64 : 745,824.54 = 123,239.64 : x
  2. Step 2: Convert to fraction form
    497,216.64/745,824.54 = 123,239.64/x
  3. Step 3: Cross multiply
    497,216.64x = 745,824.54 × 123,239.64
  4. Step 4: Simplify right side
    497,216.64x = 91,915,147,812.77
  5. Step 5: Solve for x
    x = 91,915,147,812.77/497,216.64
  6. Step 6: Final answer
    x = 184,859.36

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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.