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Finding the Fourth Proportional to 654,050.40, 978,742.80 and 453,429.60

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Solution

The fourth proportional to 654,050.40, 978,742.80 and 453,429.60 is: 678,527.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,050.40 : 978,742.80 = 453,429.60 : x
  2. Step 2: Convert to fraction form
    654,050.40/978,742.80 = 453,429.60/x
  3. Step 3: Cross multiply
    654,050.40x = 978,742.80 × 453,429.60
  4. Step 4: Simplify right side
    654,050.40x = 443,790,956,306.88
  5. Step 5: Solve for x
    x = 443,790,956,306.88/654,050.40
  6. Step 6: Final answer
    x = 678,527.15

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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.