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Finding the Fourth Proportional to 468,584.88, 646,742.52 and 317,730.48

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Solution

The fourth proportional to 468,584.88, 646,742.52 and 317,730.48 is: 438,532.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,584.88 : 646,742.52 = 317,730.48 : x
  2. Step 2: Convert to fraction form
    468,584.88/646,742.52 = 317,730.48/x
  3. Step 3: Cross multiply
    468,584.88x = 646,742.52 × 317,730.48
  4. Step 4: Simplify right side
    468,584.88x = 205,489,811,316.01
  5. Step 5: Solve for x
    x = 205,489,811,316.01/468,584.88
  6. Step 6: Final answer
    x = 438,532.74

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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.