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Finding the Fourth Proportional to 411,329.57, 617,008.03 and 141,455.06

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Solution

The fourth proportional to 411,329.57, 617,008.03 and 141,455.06 is: 212,187.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,329.57 : 617,008.03 = 141,455.06 : x
  2. Step 2: Convert to fraction form
    411,329.57/617,008.03 = 141,455.06/x
  3. Step 3: Cross multiply
    411,329.57x = 617,008.03 × 141,455.06
  4. Step 4: Simplify right side
    411,329.57x = 87,278,904,465.45
  5. Step 5: Solve for x
    x = 87,278,904,465.45/411,329.57
  6. Step 6: Final answer
    x = 212,187.28

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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.