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Finding the Fourth Proportional to 468,346.88, 646,414.08 and 317,492.48

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Solution

The fourth proportional to 468,346.88, 646,414.08 and 317,492.48 is: 438,204.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,346.88 : 646,414.08 = 317,492.48 : x
  2. Step 2: Convert to fraction form
    468,346.88/646,414.08 = 317,492.48/x
  3. Step 3: Cross multiply
    468,346.88x = 646,414.08 × 317,492.48
  4. Step 4: Simplify right side
    468,346.88x = 205,231,609,366.12
  5. Step 5: Solve for x
    x = 205,231,609,366.12/468,346.88
  6. Step 6: Final answer
    x = 438,204.28

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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.