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Finding the Fourth Proportional to 305,458.10, 457,798.35 and 272,021.30

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Solution

The fourth proportional to 305,458.10, 457,798.35 and 272,021.30 is: 407,685.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,458.10 : 457,798.35 = 272,021.30 : x
  2. Step 2: Convert to fraction form
    305,458.10/457,798.35 = 272,021.30/x
  3. Step 3: Cross multiply
    305,458.10x = 457,798.35 × 272,021.30
  4. Step 4: Simplify right side
    305,458.10x = 124,530,902,304.86
  5. Step 5: Solve for x
    x = 124,530,902,304.86/305,458.10
  6. Step 6: Final answer
    x = 407,685.71

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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.