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Finding the Fourth Proportional to 306,231.99, 459,048.64 and 137,794.72

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Solution

The fourth proportional to 306,231.99, 459,048.64 and 137,794.72 is: 206,557.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,231.99 : 459,048.64 = 137,794.72 : x
  2. Step 2: Convert to fraction form
    306,231.99/459,048.64 = 137,794.72/x
  3. Step 3: Cross multiply
    306,231.99x = 459,048.64 × 137,794.72
  4. Step 4: Simplify right side
    306,231.99x = 63,254,478,829.70
  5. Step 5: Solve for x
    x = 63,254,478,829.70/306,231.99
  6. Step 6: Final answer
    x = 206,557.38

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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.