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Finding the Fourth Proportional to 499,580, 749,616.04 and 233,301.80

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Solution

The fourth proportional to 499,580, 749,616.04 and 233,301.80 is: 350,067.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,580 : 749,616.04 = 233,301.80 : x
  2. Step 2: Convert to fraction form
    499,580/749,616.04 = 233,301.80/x
  3. Step 3: Cross multiply
    499,580x = 749,616.04 × 233,301.80
  4. Step 4: Simplify right side
    499,580x = 174,886,771,440.87
  5. Step 5: Solve for x
    x = 174,886,771,440.87/499,580
  6. Step 6: Final answer
    x = 350,067.60

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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.