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Finding the Fourth Proportional to 468,735.59, 646,853.14 and 262,003.75

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Solution

The fourth proportional to 468,735.59, 646,853.14 and 262,003.75 is: 361,564.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,735.59 : 646,853.14 = 262,003.75 : x
  2. Step 2: Convert to fraction form
    468,735.59/646,853.14 = 262,003.75/x
  3. Step 3: Cross multiply
    468,735.59x = 646,853.14 × 262,003.75
  4. Step 4: Simplify right side
    468,735.59x = 169,477,947,089.65
  5. Step 5: Solve for x
    x = 169,477,947,089.65/468,735.59
  6. Step 6: Final answer
    x = 361,564.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.