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Finding the Fourth Proportional to 411,930.40, 617,895.60 and 201,978.40

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Solution

The fourth proportional to 411,930.40, 617,895.60 and 201,978.40 is: 302,967.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,930.40 : 617,895.60 = 201,978.40 : x
  2. Step 2: Convert to fraction form
    411,930.40/617,895.60 = 201,978.40/x
  3. Step 3: Cross multiply
    411,930.40x = 617,895.60 × 201,978.40
  4. Step 4: Simplify right side
    411,930.40x = 124,801,564,655.04
  5. Step 5: Solve for x
    x = 124,801,564,655.04/411,930.40
  6. Step 6: Final answer
    x = 302,967.60

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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.