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Finding the Fourth Proportional to 302,614.40, 453,921.60 and 201,137.60

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Solution

The fourth proportional to 302,614.40, 453,921.60 and 201,137.60 is: 301,706.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,614.40 : 453,921.60 = 201,137.60 : x
  2. Step 2: Convert to fraction form
    302,614.40/453,921.60 = 201,137.60/x
  3. Step 3: Cross multiply
    302,614.40x = 453,921.60 × 201,137.60
  4. Step 4: Simplify right side
    302,614.40x = 91,300,701,212.16
  5. Step 5: Solve for x
    x = 91,300,701,212.16/302,614.40
  6. Step 6: Final answer
    x = 301,706.40

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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.