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Finding the Fourth Proportional to 654,065.40, 978,765.30 and 453,444.60

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Solution

The fourth proportional to 654,065.40, 978,765.30 and 453,444.60 is: 678,549.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,065.40 : 978,765.30 = 453,444.60 : x
  2. Step 2: Convert to fraction form
    654,065.40/978,765.30 = 453,444.60/x
  3. Step 3: Cross multiply
    654,065.40x = 978,765.30 × 453,444.60
  4. Step 4: Simplify right side
    654,065.40x = 443,815,839,952.38
  5. Step 5: Solve for x
    x = 443,815,839,952.38/654,065.40
  6. Step 6: Final answer
    x = 678,549.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.