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Finding the Fourth Proportional to 468,276.28, 646,218.87 and 253,416.39

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Solution

The fourth proportional to 468,276.28, 646,218.87 and 253,416.39 is: 349,713.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,276.28 : 646,218.87 = 253,416.39 : x
  2. Step 2: Convert to fraction form
    468,276.28/646,218.87 = 253,416.39/x
  3. Step 3: Cross multiply
    468,276.28x = 646,218.87 × 253,416.39
  4. Step 4: Simplify right side
    468,276.28x = 163,762,453,185.28
  5. Step 5: Solve for x
    x = 163,762,453,185.28/468,276.28
  6. Step 6: Final answer
    x = 349,713.32

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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.