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Finding the Fourth Proportional to 447,136.40, 670,704.60 and 415,643.60

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Solution

The fourth proportional to 447,136.40, 670,704.60 and 415,643.60 is: 623,465.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,136.40 : 670,704.60 = 415,643.60 : x
  2. Step 2: Convert to fraction form
    447,136.40/670,704.60 = 415,643.60/x
  3. Step 3: Cross multiply
    447,136.40x = 670,704.60 × 415,643.60
  4. Step 4: Simplify right side
    447,136.40x = 278,774,074,480.56
  5. Step 5: Solve for x
    x = 278,774,074,480.56/447,136.40
  6. Step 6: Final answer
    x = 623,465.40

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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.