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Finding the Fourth Proportional to 523,784.42, 722,768.55 and 294,305.21

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Solution

The fourth proportional to 523,784.42, 722,768.55 and 294,305.21 is: 406,110.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,784.42 : 722,768.55 = 294,305.21 : x
  2. Step 2: Convert to fraction form
    523,784.42/722,768.55 = 294,305.21/x
  3. Step 3: Cross multiply
    523,784.42x = 722,768.55 × 294,305.21
  4. Step 4: Simplify right side
    523,784.42x = 212,714,546,275.30
  5. Step 5: Solve for x
    x = 212,714,546,275.30/523,784.42
  6. Step 6: Final answer
    x = 406,110.87

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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.