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Finding the Fourth Proportional to 407,309.13, 610,968.15 and 123,002.07

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Solution

The fourth proportional to 407,309.13, 610,968.15 and 123,002.07 is: 184,504.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,309.13 : 610,968.15 = 123,002.07 : x
  2. Step 2: Convert to fraction form
    407,309.13/610,968.15 = 123,002.07/x
  3. Step 3: Cross multiply
    407,309.13x = 610,968.15 × 123,002.07
  4. Step 4: Simplify right side
    407,309.13x = 75,150,347,154.07
  5. Step 5: Solve for x
    x = 75,150,347,154.07/407,309.13
  6. Step 6: Final answer
    x = 184,504.45

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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.