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Finding the Fourth Proportional to 501,910.32, 692,331.60 and 297,826.68

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Solution

The fourth proportional to 501,910.32, 692,331.60 and 297,826.68 is: 410,820.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,910.32 : 692,331.60 = 297,826.68 : x
  2. Step 2: Convert to fraction form
    501,910.32/692,331.60 = 297,826.68/x
  3. Step 3: Cross multiply
    501,910.32x = 692,331.60 × 297,826.68
  4. Step 4: Simplify right side
    501,910.32x = 206,194,821,887.09
  5. Step 5: Solve for x
    x = 206,194,821,887.09/501,910.32
  6. Step 6: Final answer
    x = 410,820.05

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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.