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Finding the Fourth Proportional to 702,052.56, 967,824.84 and 500,498.64

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Solution

The fourth proportional to 702,052.56, 967,824.84 and 500,498.64 is: 689,969.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,052.56 : 967,824.84 = 500,498.64 : x
  2. Step 2: Convert to fraction form
    702,052.56/967,824.84 = 500,498.64/x
  3. Step 3: Cross multiply
    702,052.56x = 967,824.84 × 500,498.64
  4. Step 4: Simplify right side
    702,052.56x = 484,395,016,178.22
  5. Step 5: Solve for x
    x = 484,395,016,178.22/702,052.56
  6. Step 6: Final answer
    x = 689,969.73

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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.