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Finding the Fourth Proportional to 468,263.97, 646,205.91 and 253,403.98

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Solution

The fourth proportional to 468,263.97, 646,205.91 and 253,403.98 is: 349,698.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,263.97 : 646,205.91 = 253,403.98 : x
  2. Step 2: Convert to fraction form
    468,263.97/646,205.91 = 253,403.98/x
  3. Step 3: Cross multiply
    468,263.97x = 646,205.91 × 253,403.98
  4. Step 4: Simplify right side
    468,263.97x = 163,751,146,927.74
  5. Step 5: Solve for x
    x = 163,751,146,927.74/468,263.97
  6. Step 6: Final answer
    x = 349,698.37

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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.