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Finding the Fourth Proportional to 306,114.63, 459,176.61 and 116,585.48

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Solution

The fourth proportional to 306,114.63, 459,176.61 and 116,585.48 is: 174,880.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,114.63 : 459,176.61 = 116,585.48 : x
  2. Step 2: Convert to fraction form
    306,114.63/459,176.61 = 116,585.48/x
  3. Step 3: Cross multiply
    306,114.63x = 459,176.61 × 116,585.48
  4. Step 4: Simplify right side
    306,114.63x = 53,533,325,481.62
  5. Step 5: Solve for x
    x = 53,533,325,481.62/306,114.63
  6. Step 6: Final answer
    x = 174,880.00

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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.