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Finding the Fourth Proportional to 523,771.13, 722,750.31 and 294,291.96

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Solution

The fourth proportional to 523,771.13, 722,750.31 and 294,291.96 is: 406,092.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,771.13 : 722,750.31 = 294,291.96 : x
  2. Step 2: Convert to fraction form
    523,771.13/722,750.31 = 294,291.96/x
  3. Step 3: Cross multiply
    523,771.13x = 722,750.31 × 294,291.96
  4. Step 4: Simplify right side
    523,771.13x = 212,699,605,320.51
  5. Step 5: Solve for x
    x = 212,699,605,320.51/523,771.13
  6. Step 6: Final answer
    x = 406,092.65

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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.