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Finding the Fourth Proportional to 292,071.77, 397,652.21 and 291,172.13

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Solution

The fourth proportional to 292,071.77, 397,652.21 and 291,172.13 is: 396,427.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,071.77 : 397,652.21 = 291,172.13 : x
  2. Step 2: Convert to fraction form
    292,071.77/397,652.21 = 291,172.13/x
  3. Step 3: Cross multiply
    292,071.77x = 397,652.21 × 291,172.13
  4. Step 4: Simplify right side
    292,071.77x = 115,785,240,984.91
  5. Step 5: Solve for x
    x = 115,785,240,984.91/292,071.77
  6. Step 6: Final answer
    x = 396,427.36

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.