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Finding the Fourth Proportional to 292,267.30, 403,334.25 and 164,918.32

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Solution

The fourth proportional to 292,267.30, 403,334.25 and 164,918.32 is: 227,590.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,267.30 : 403,334.25 = 164,918.32 : x
  2. Step 2: Convert to fraction form
    292,267.30/403,334.25 = 164,918.32/x
  3. Step 3: Cross multiply
    292,267.30x = 403,334.25 × 164,918.32
  4. Step 4: Simplify right side
    292,267.30x = 66,517,206,908.46
  5. Step 5: Solve for x
    x = 66,517,206,908.46/292,267.30
  6. Step 6: Final answer
    x = 227,590.32

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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.