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Finding the Fourth Proportional to 411,643.80, 617,465.70 and 116,155.80

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Solution

The fourth proportional to 411,643.80, 617,465.70 and 116,155.80 is: 174,233.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,643.80 : 617,465.70 = 116,155.80 : x
  2. Step 2: Convert to fraction form
    411,643.80/617,465.70 = 116,155.80/x
  3. Step 3: Cross multiply
    411,643.80x = 617,465.70 × 116,155.80
  4. Step 4: Simplify right side
    411,643.80x = 71,722,222,356.06
  5. Step 5: Solve for x
    x = 71,722,222,356.06/411,643.80
  6. Step 6: Final answer
    x = 174,233.70

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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.