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Finding the Fourth Proportional to 306,406.36, 459,483.78 and 116,935.72

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Solution

The fourth proportional to 306,406.36, 459,483.78 and 116,935.72 is: 175,355.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,406.36 : 459,483.78 = 116,935.72 : x
  2. Step 2: Convert to fraction form
    306,406.36/459,483.78 = 116,935.72/x
  3. Step 3: Cross multiply
    306,406.36x = 459,483.78 × 116,935.72
  4. Step 4: Simplify right side
    306,406.36x = 53,730,066,642.62
  5. Step 5: Solve for x
    x = 53,730,066,642.62/306,406.36
  6. Step 6: Final answer
    x = 175,355.59

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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.