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Finding the Fourth Proportional to 333,380, 460,064.40 and 182,477

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Solution

The fourth proportional to 333,380, 460,064.40 and 182,477 is: 251,818.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,380 : 460,064.40 = 182,477 : x
  2. Step 2: Convert to fraction form
    333,380/460,064.40 = 182,477/x
  3. Step 3: Cross multiply
    333,380x = 460,064.40 × 182,477
  4. Step 4: Simplify right side
    333,380x = 83,951,171,518.80
  5. Step 5: Solve for x
    x = 83,951,171,518.80/333,380
  6. Step 6: Final answer
    x = 251,818.26

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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.