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Finding the Fourth Proportional to 609,023.36, 913,513.14 and 159,740.64

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Solution

The fourth proportional to 609,023.36, 913,513.14 and 159,740.64 is: 239,605.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,023.36 : 913,513.14 = 159,740.64 : x
  2. Step 2: Convert to fraction form
    609,023.36/913,513.14 = 159,740.64/x
  3. Step 3: Cross multiply
    609,023.36x = 913,513.14 × 159,740.64
  4. Step 4: Simplify right side
    609,023.36x = 145,925,173,632.01
  5. Step 5: Solve for x
    x = 145,925,173,632.01/609,023.36
  6. Step 6: Final answer
    x = 239,605.22

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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.