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Finding the Fourth Proportional to 650,078.49, 975,297.15 and 271,177.32

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Solution

The fourth proportional to 650,078.49, 975,297.15 and 271,177.32 is: 406,840.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,078.49 : 975,297.15 = 271,177.32 : x
  2. Step 2: Convert to fraction form
    650,078.49/975,297.15 = 271,177.32/x
  3. Step 3: Cross multiply
    650,078.49x = 975,297.15 × 271,177.32
  4. Step 4: Simplify right side
    650,078.49x = 264,478,467,340.64
  5. Step 5: Solve for x
    x = 264,478,467,340.64/650,078.49
  6. Step 6: Final answer
    x = 406,840.82

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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.