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Finding the Fourth Proportional to 411,606.51, 617,409.74 and 271,332.33

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Solution

The fourth proportional to 411,606.51, 617,409.74 and 271,332.33 is: 406,998.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,606.51 : 617,409.74 = 271,332.33 : x
  2. Step 2: Convert to fraction form
    411,606.51/617,409.74 = 271,332.33/x
  3. Step 3: Cross multiply
    411,606.51x = 617,409.74 × 271,332.33
  4. Step 4: Simplify right side
    411,606.51x = 167,523,221,962.23
  5. Step 5: Solve for x
    x = 167,523,221,962.23/411,606.51
  6. Step 6: Final answer
    x = 406,998.48

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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.