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Finding the Fourth Proportional to 333,696.24, 460,131.84 and 212,645.88

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Solution

The fourth proportional to 333,696.24, 460,131.84 and 212,645.88 is: 293,216.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,696.24 : 460,131.84 = 212,645.88 : x
  2. Step 2: Convert to fraction form
    333,696.24/460,131.84 = 212,645.88/x
  3. Step 3: Cross multiply
    333,696.24x = 460,131.84 × 212,645.88
  4. Step 4: Simplify right side
    333,696.24x = 97,845,140,032.82
  5. Step 5: Solve for x
    x = 97,845,140,032.82/333,696.24
  6. Step 6: Final answer
    x = 293,216.19

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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.