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Finding the Fourth Proportional to 411,946.60, 617,228.70 and 201,130.60

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Solution

The fourth proportional to 411,946.60, 617,228.70 and 201,130.60 is: 301,358.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,946.60 : 617,228.70 = 201,130.60 : x
  2. Step 2: Convert to fraction form
    411,946.60/617,228.70 = 201,130.60/x
  3. Step 3: Cross multiply
    411,946.60x = 617,228.70 × 201,130.60
  4. Step 4: Simplify right side
    411,946.60x = 124,143,578,768.22
  5. Step 5: Solve for x
    x = 124,143,578,768.22/411,946.60
  6. Step 6: Final answer
    x = 301,358.43

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