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Finding the Fourth Proportional to 499,476.65, 749,090.26 and 195,932.50

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Solution

The fourth proportional to 499,476.65, 749,090.26 and 195,932.50 is: 293,849.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,476.65 : 749,090.26 = 195,932.50 : x
  2. Step 2: Convert to fraction form
    499,476.65/749,090.26 = 195,932.50/x
  3. Step 3: Cross multiply
    499,476.65x = 749,090.26 × 195,932.50
  4. Step 4: Simplify right side
    499,476.65x = 146,771,125,739.64
  5. Step 5: Solve for x
    x = 146,771,125,739.64/499,476.65
  6. Step 6: Final answer
    x = 293,849.83

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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.