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Finding the Fourth Proportional to 333,381.80, 460,063.14 and 182,477

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Solution

The fourth proportional to 333,381.80, 460,063.14 and 182,477 is: 251,816.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,381.80 : 460,063.14 = 182,477 : x
  2. Step 2: Convert to fraction form
    333,381.80/460,063.14 = 182,477/x
  3. Step 3: Cross multiply
    333,381.80x = 460,063.14 × 182,477
  4. Step 4: Simplify right side
    333,381.80x = 83,950,941,597.78
  5. Step 5: Solve for x
    x = 83,950,941,597.78/333,381.80
  6. Step 6: Final answer
    x = 251,816.21

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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.