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Finding the Fourth Proportional to 406,085.68, 609,266.94 and 121,783.17

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Solution

The fourth proportional to 406,085.68, 609,266.94 and 121,783.17 is: 182,716.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,085.68 : 609,266.94 = 121,783.17 : x
  2. Step 2: Convert to fraction form
    406,085.68/609,266.94 = 121,783.17/x
  3. Step 3: Cross multiply
    406,085.68x = 609,266.94 × 121,783.17
  4. Step 4: Simplify right side
    406,085.68x = 74,198,459,329.40
  5. Step 5: Solve for x
    x = 74,198,459,329.40/406,085.68
  6. Step 6: Final answer
    x = 182,716.27

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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.