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Finding the Fourth Proportional to 523,097.42, 721,834.59 and 293,610.37

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Solution

The fourth proportional to 523,097.42, 721,834.59 and 293,610.37 is: 405,159.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,097.42 : 721,834.59 = 293,610.37 : x
  2. Step 2: Convert to fraction form
    523,097.42/721,834.59 = 293,610.37/x
  3. Step 3: Cross multiply
    523,097.42x = 721,834.59 × 293,610.37
  4. Step 4: Simplify right side
    523,097.42x = 211,938,121,950.99
  5. Step 5: Solve for x
    x = 211,938,121,950.99/523,097.42
  6. Step 6: Final answer
    x = 405,159.94

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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.