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Finding the Fourth Proportional to 333,954, 460,857.60 and 180,994.68

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Solution

The fourth proportional to 333,954, 460,857.60 and 180,994.68 is: 249,773.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,954 : 460,857.60 = 180,994.68 : x
  2. Step 2: Convert to fraction form
    333,954/460,857.60 = 180,994.68/x
  3. Step 3: Cross multiply
    333,954x = 460,857.60 × 180,994.68
  4. Step 4: Simplify right side
    333,954x = 83,412,773,837.57
  5. Step 5: Solve for x
    x = 83,412,773,837.57/333,954
  6. Step 6: Final answer
    x = 249,773.24

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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.