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Finding the Fourth Proportional to 431,971.82, 648,176.37 and 291,435.20

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Solution

The fourth proportional to 431,971.82, 648,176.37 and 291,435.20 is: 437,300.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,971.82 : 648,176.37 = 291,435.20 : x
  2. Step 2: Convert to fraction form
    431,971.82/648,176.37 = 291,435.20/x
  3. Step 3: Cross multiply
    431,971.82x = 648,176.37 × 291,435.20
  4. Step 4: Simplify right side
    431,971.82x = 188,901,410,026.22
  5. Step 5: Solve for x
    x = 188,901,410,026.22/431,971.82
  6. Step 6: Final answer
    x = 437,300.31

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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.