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Finding the Fourth Proportional to 531,769.25, 734,112.47 and 410,638.61

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Solution

The fourth proportional to 531,769.25, 734,112.47 and 410,638.61 is: 566,890.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,769.25 : 734,112.47 = 410,638.61 : x
  2. Step 2: Convert to fraction form
    531,769.25/734,112.47 = 410,638.61/x
  3. Step 3: Cross multiply
    531,769.25x = 734,112.47 × 410,638.61
  4. Step 4: Simplify right side
    531,769.25x = 301,454,924,264.47
  5. Step 5: Solve for x
    x = 301,454,924,264.47/531,769.25
  6. Step 6: Final answer
    x = 566,890.48

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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.