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Finding the Fourth Proportional to 409,046.44, 613,602.42 and 142,801.06

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Solution

The fourth proportional to 409,046.44, 613,602.42 and 142,801.06 is: 214,213.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,046.44 : 613,602.42 = 142,801.06 : x
  2. Step 2: Convert to fraction form
    409,046.44/613,602.42 = 142,801.06/x
  3. Step 3: Cross multiply
    409,046.44x = 613,602.42 × 142,801.06
  4. Step 4: Simplify right side
    409,046.44x = 87,623,075,994.57
  5. Step 5: Solve for x
    x = 87,623,075,994.57/409,046.44
  6. Step 6: Final answer
    x = 214,213.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.