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Finding the Fourth Proportional to 531,770.56, 734,114.27 and 410,639.92

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Solution

The fourth proportional to 531,770.56, 734,114.27 and 410,639.92 is: 566,892.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,770.56 : 734,114.27 = 410,639.92 : x
  2. Step 2: Convert to fraction form
    531,770.56/734,114.27 = 410,639.92/x
  3. Step 3: Cross multiply
    531,770.56x = 734,114.27 × 410,639.92
  4. Step 4: Simplify right side
    531,770.56x = 301,456,625,103.66
  5. Step 5: Solve for x
    x = 301,456,625,103.66/531,770.56
  6. Step 6: Final answer
    x = 566,892.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.