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Finding the Fourth Proportional to 296,196.48, 408,741.12 and 162,057.60

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Solution

The fourth proportional to 296,196.48, 408,741.12 and 162,057.60 is: 223,634.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,196.48 : 408,741.12 = 162,057.60 : x
  2. Step 2: Convert to fraction form
    296,196.48/408,741.12 = 162,057.60/x
  3. Step 3: Cross multiply
    296,196.48x = 408,741.12 × 162,057.60
  4. Step 4: Simplify right side
    296,196.48x = 66,239,604,928.51
  5. Step 5: Solve for x
    x = 66,239,604,928.51/296,196.48
  6. Step 6: Final answer
    x = 223,634.00

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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.