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Finding the Fourth Proportional to 354,182.05, 531,430.10 and 185,662.15

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Solution

The fourth proportional to 354,182.05, 531,430.10 and 185,662.15 is: 278,575.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,182.05 : 531,430.10 = 185,662.15 : x
  2. Step 2: Convert to fraction form
    354,182.05/531,430.10 = 185,662.15/x
  3. Step 3: Cross multiply
    354,182.05x = 531,430.10 × 185,662.15
  4. Step 4: Simplify right side
    354,182.05x = 98,666,454,940.72
  5. Step 5: Solve for x
    x = 98,666,454,940.72/354,182.05
  6. Step 6: Final answer
    x = 278,575.54

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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.