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Finding the Fourth Proportional to 416,399.76, 623,653.68 and 325,878.48

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Solution

The fourth proportional to 416,399.76, 623,653.68 and 325,878.48 is: 488,077.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,399.76 : 623,653.68 = 325,878.48 : x
  2. Step 2: Convert to fraction form
    416,399.76/623,653.68 = 325,878.48/x
  3. Step 3: Cross multiply
    416,399.76x = 623,653.68 × 325,878.48
  4. Step 4: Simplify right side
    416,399.76x = 203,235,313,284.81
  5. Step 5: Solve for x
    x = 203,235,313,284.81/416,399.76
  6. Step 6: Final answer
    x = 488,077.40

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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.