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Finding the Fourth Proportional to 292,724.16, 403,961.28 and 158,588.16

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Solution

The fourth proportional to 292,724.16, 403,961.28 and 158,588.16 is: 218,852.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,724.16 : 403,961.28 = 158,588.16 : x
  2. Step 2: Convert to fraction form
    292,724.16/403,961.28 = 158,588.16/x
  3. Step 3: Cross multiply
    292,724.16x = 403,961.28 × 158,588.16
  4. Step 4: Simplify right side
    292,724.16x = 64,063,476,106.44
  5. Step 5: Solve for x
    x = 64,063,476,106.44/292,724.16
  6. Step 6: Final answer
    x = 218,852.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.