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Finding the Fourth Proportional to 292,983, 404,305.32 and 165,661.26

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Solution

The fourth proportional to 292,983, 404,305.32 and 165,661.26 is: 228,606.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,983 : 404,305.32 = 165,661.26 : x
  2. Step 2: Convert to fraction form
    292,983/404,305.32 = 165,661.26/x
  3. Step 3: Cross multiply
    292,983x = 404,305.32 × 165,661.26
  4. Step 4: Simplify right side
    292,983x = 66,977,728,735.90
  5. Step 5: Solve for x
    x = 66,977,728,735.90/292,983
  6. Step 6: Final answer
    x = 228,606.19

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1.5x scale

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.