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Finding the Fourth Proportional to 413,369.58, 570,445.02 and 232,077

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Solution

The fourth proportional to 413,369.58, 570,445.02 and 232,077 is: 320,263.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,369.58 : 570,445.02 = 232,077 : x
  2. Step 2: Convert to fraction form
    413,369.58/570,445.02 = 232,077/x
  3. Step 3: Cross multiply
    413,369.58x = 570,445.02 × 232,077
  4. Step 4: Simplify right side
    413,369.58x = 132,387,168,906.54
  5. Step 5: Solve for x
    x = 132,387,168,906.54/413,369.58
  6. Step 6: Final answer
    x = 320,263.45

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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.