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Finding the Fourth Proportional to 406,727.68, 610,142.56 and 122,373.94

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Solution

The fourth proportional to 406,727.68, 610,142.56 and 122,373.94 is: 183,576.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,727.68 : 610,142.56 = 122,373.94 : x
  2. Step 2: Convert to fraction form
    406,727.68/610,142.56 = 122,373.94/x
  3. Step 3: Cross multiply
    406,727.68x = 610,142.56 × 122,373.94
  4. Step 4: Simplify right side
    406,727.68x = 74,665,549,028.89
  5. Step 5: Solve for x
    x = 74,665,549,028.89/406,727.68
  6. Step 6: Final answer
    x = 183,576.27

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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.