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Finding the Fourth Proportional to 733,257.76, 1,011,936 and 411,071.44

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Solution

The fourth proportional to 733,257.76, 1,011,936 and 411,071.44 is: 567,301.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,257.76 : 1,011,936 = 411,071.44 : x
  2. Step 2: Convert to fraction form
    733,257.76/1,011,936 = 411,071.44/x
  3. Step 3: Cross multiply
    733,257.76x = 1,011,936 × 411,071.44
  4. Step 4: Simplify right side
    733,257.76x = 415,977,988,707.84
  5. Step 5: Solve for x
    x = 415,977,988,707.84/733,257.76
  6. Step 6: Final answer
    x = 567,301.17

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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.