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Finding the Fourth Proportional to 333,476.90, 460,198.38 and 180,514.62

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Solution

The fourth proportional to 333,476.90, 460,198.38 and 180,514.62 is: 249,110.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,476.90 : 460,198.38 = 180,514.62 : x
  2. Step 2: Convert to fraction form
    333,476.90/460,198.38 = 180,514.62/x
  3. Step 3: Cross multiply
    333,476.90x = 460,198.38 × 180,514.62
  4. Step 4: Simplify right side
    333,476.90x = 83,072,535,690.32
  5. Step 5: Solve for x
    x = 83,072,535,690.32/333,476.90
  6. Step 6: Final answer
    x = 249,110.32

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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.