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Finding the Fourth Proportional to 333,696.41, 460,498.67 and 180,731.08

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Solution

The fourth proportional to 333,696.41, 460,498.67 and 180,731.08 is: 249,407.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,696.41 : 460,498.67 = 180,731.08 : x
  2. Step 2: Convert to fraction form
    333,696.41/460,498.67 = 180,731.08/x
  3. Step 3: Cross multiply
    333,696.41x = 460,498.67 × 180,731.08
  4. Step 4: Simplify right side
    333,696.41x = 83,226,418,761.51
  5. Step 5: Solve for x
    x = 83,226,418,761.51/333,696.41
  6. Step 6: Final answer
    x = 249,407.59

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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.