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Finding the Fourth Proportional to 404,982, 607,011.96 and 180,004.48

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Solution

The fourth proportional to 404,982, 607,011.96 and 180,004.48 is: 269,801.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,982 : 607,011.96 = 180,004.48 : x
  2. Step 2: Convert to fraction form
    404,982/607,011.96 = 180,004.48/x
  3. Step 3: Cross multiply
    404,982x = 607,011.96 × 180,004.48
  4. Step 4: Simplify right side
    404,982x = 109,264,872,213.58
  5. Step 5: Solve for x
    x = 109,264,872,213.58/404,982
  6. Step 6: Final answer
    x = 269,801.80

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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.