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Finding the Fourth Proportional to 535,698.12, 803,550.42 and 180,715.62

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Solution

The fourth proportional to 535,698.12, 803,550.42 and 180,715.62 is: 271,074.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,698.12 : 803,550.42 = 180,715.62 : x
  2. Step 2: Convert to fraction form
    535,698.12/803,550.42 = 180,715.62/x
  3. Step 3: Cross multiply
    535,698.12x = 803,550.42 × 180,715.62
  4. Step 4: Simplify right side
    535,698.12x = 145,214,112,351.56
  5. Step 5: Solve for x
    x = 145,214,112,351.56/535,698.12
  6. Step 6: Final answer
    x = 271,074.52

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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.