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Finding the Fourth Proportional to 427,922.52, 590,553.36 and 258,153

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Solution

The fourth proportional to 427,922.52, 590,553.36 and 258,153 is: 356,263.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,922.52 : 590,553.36 = 258,153 : x
  2. Step 2: Convert to fraction form
    427,922.52/590,553.36 = 258,153/x
  3. Step 3: Cross multiply
    427,922.52x = 590,553.36 × 258,153
  4. Step 4: Simplify right side
    427,922.52x = 152,453,121,544.08
  5. Step 5: Solve for x
    x = 152,453,121,544.08/427,922.52
  6. Step 6: Final answer
    x = 356,263.38

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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.