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Finding the Fourth Proportional to 712,770.48, 983,629.44 and 410,964.48

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Solution

The fourth proportional to 712,770.48, 983,629.44 and 410,964.48 is: 567,134.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,770.48 : 983,629.44 = 410,964.48 : x
  2. Step 2: Convert to fraction form
    712,770.48/983,629.44 = 410,964.48/x
  3. Step 3: Cross multiply
    712,770.48x = 983,629.44 × 410,964.48
  4. Step 4: Simplify right side
    712,770.48x = 404,236,761,322.29
  5. Step 5: Solve for x
    x = 404,236,761,322.29/712,770.48
  6. Step 6: Final answer
    x = 567,134.54

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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.