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Finding the Fourth Proportional to 305,454.42, 420,032.34 and 265,098.09

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Solution

The fourth proportional to 305,454.42, 420,032.34 and 265,098.09 is: 364,538.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,454.42 : 420,032.34 = 265,098.09 : x
  2. Step 2: Convert to fraction form
    305,454.42/420,032.34 = 265,098.09/x
  3. Step 3: Cross multiply
    305,454.42x = 420,032.34 × 265,098.09
  4. Step 4: Simplify right side
    305,454.42x = 111,349,771,072.23
  5. Step 5: Solve for x
    x = 111,349,771,072.23/305,454.42
  6. Step 6: Final answer
    x = 364,538.09

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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.