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Finding the Fourth Proportional to 406,655.57, 610,150.84 and 178,834.07

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Solution

The fourth proportional to 406,655.57, 610,150.84 and 178,834.07 is: 268,324.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,655.57 : 610,150.84 = 178,834.07 : x
  2. Step 2: Convert to fraction form
    406,655.57/610,150.84 = 178,834.07/x
  3. Step 3: Cross multiply
    406,655.57x = 610,150.84 × 178,834.07
  4. Step 4: Simplify right side
    406,655.57x = 109,115,754,086.19
  5. Step 5: Solve for x
    x = 109,115,754,086.19/406,655.57
  6. Step 6: Final answer
    x = 268,324.75

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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.