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Finding the Fourth Proportional to 354,163.56, 531,401.86 and 185,643.60

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Solution

The fourth proportional to 354,163.56, 531,401.86 and 185,643.60 is: 278,547.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,163.56 : 531,401.86 = 185,643.60 : x
  2. Step 2: Convert to fraction form
    354,163.56/531,401.86 = 185,643.60/x
  3. Step 3: Cross multiply
    354,163.56x = 531,401.86 × 185,643.60
  4. Step 4: Simplify right side
    354,163.56x = 98,651,354,337.10
  5. Step 5: Solve for x
    x = 98,651,354,337.10/354,163.56
  6. Step 6: Final answer
    x = 278,547.44

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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.