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Finding the Fourth Proportional to 309,243.40, 463,792.40 and 174,365.44

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Solution

The fourth proportional to 309,243.40, 463,792.40 and 174,365.44 is: 261,507.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,243.40 : 463,792.40 = 174,365.44 : x
  2. Step 2: Convert to fraction form
    309,243.40/463,792.40 = 174,365.44/x
  3. Step 3: Cross multiply
    309,243.40x = 463,792.40 × 174,365.44
  4. Step 4: Simplify right side
    309,243.40x = 80,869,365,894.66
  5. Step 5: Solve for x
    x = 80,869,365,894.66/309,243.40
  6. Step 6: Final answer
    x = 261,507.17

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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.