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Finding the Fourth Proportional to 524,623.74, 787,184.58 and 271,857

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Solution

The fourth proportional to 524,623.74, 787,184.58 and 271,857 is: 407,914.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,623.74 : 787,184.58 = 271,857 : x
  2. Step 2: Convert to fraction form
    524,623.74/787,184.58 = 271,857/x
  3. Step 3: Cross multiply
    524,623.74x = 787,184.58 × 271,857
  4. Step 4: Simplify right side
    524,623.74x = 214,001,638,365.06
  5. Step 5: Solve for x
    x = 214,001,638,365.06/524,623.74
  6. Step 6: Final answer
    x = 407,914.51

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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.