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Finding the Fourth Proportional to 734,842.54, 1,014,141.28 and 412,573.78

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Solution

The fourth proportional to 734,842.54, 1,014,141.28 and 412,573.78 is: 569,384.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,842.54 : 1,014,141.28 = 412,573.78 : x
  2. Step 2: Convert to fraction form
    734,842.54/1,014,141.28 = 412,573.78/x
  3. Step 3: Cross multiply
    734,842.54x = 1,014,141.28 × 412,573.78
  4. Step 4: Simplify right side
    734,842.54x = 418,408,101,343.64
  5. Step 5: Solve for x
    x = 418,408,101,343.64/734,842.54
  6. Step 6: Final answer
    x = 569,384.70

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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.