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Finding the Fourth Proportional to 292,485, 438,727.56 and 105,496.48

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Solution

The fourth proportional to 292,485, 438,727.56 and 105,496.48 is: 158,244.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,485 : 438,727.56 = 105,496.48 : x
  2. Step 2: Convert to fraction form
    292,485/438,727.56 = 105,496.48/x
  3. Step 3: Cross multiply
    292,485x = 438,727.56 × 105,496.48
  4. Step 4: Simplify right side
    292,485x = 46,284,213,258.99
  5. Step 5: Solve for x
    x = 46,284,213,258.99/292,485
  6. Step 6: Final answer
    x = 158,244.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.