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Finding the Fourth Proportional to 306,369.54, 459,393.93 and 180,048.42

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Solution

The fourth proportional to 306,369.54, 459,393.93 and 180,048.42 is: 269,978.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,369.54 : 459,393.93 = 180,048.42 : x
  2. Step 2: Convert to fraction form
    306,369.54/459,393.93 = 180,048.42/x
  3. Step 3: Cross multiply
    306,369.54x = 459,393.93 × 180,048.42
  4. Step 4: Simplify right side
    306,369.54x = 82,713,151,254.09
  5. Step 5: Solve for x
    x = 82,713,151,254.09/306,369.54
  6. Step 6: Final answer
    x = 269,978.38

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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.