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Finding the Fourth Proportional to 499,477.65, 749,091.76 and 195,933.50

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Solution

The fourth proportional to 499,477.65, 749,091.76 and 195,933.50 is: 293,851.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,477.65 : 749,091.76 = 195,933.50 : x
  2. Step 2: Convert to fraction form
    499,477.65/749,091.76 = 195,933.50/x
  3. Step 3: Cross multiply
    499,477.65x = 749,091.76 × 195,933.50
  4. Step 4: Simplify right side
    499,477.65x = 146,772,170,357.96
  5. Step 5: Solve for x
    x = 146,772,170,357.96/499,477.65
  6. Step 6: Final answer
    x = 293,851.33

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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.