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Finding the Fourth Proportional to 299,541.30, 413,458.53 and 184,855.02

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Solution

The fourth proportional to 299,541.30, 413,458.53 and 184,855.02 is: 255,156.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,541.30 : 413,458.53 = 184,855.02 : x
  2. Step 2: Convert to fraction form
    299,541.30/413,458.53 = 184,855.02/x
  3. Step 3: Cross multiply
    299,541.30x = 413,458.53 × 184,855.02
  4. Step 4: Simplify right side
    299,541.30x = 76,429,884,832.32
  5. Step 5: Solve for x
    x = 76,429,884,832.32/299,541.30
  6. Step 6: Final answer
    x = 255,156.42

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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.