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Finding the Fourth Proportional to 493,582.88, 740,374.41 and 178,039.76

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Solution

The fourth proportional to 493,582.88, 740,374.41 and 178,039.76 is: 267,059.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,582.88 : 740,374.41 = 178,039.76 : x
  2. Step 2: Convert to fraction form
    493,582.88/740,374.41 = 178,039.76/x
  3. Step 3: Cross multiply
    493,582.88x = 740,374.41 × 178,039.76
  4. Step 4: Simplify right side
    493,582.88x = 131,816,078,564.67
  5. Step 5: Solve for x
    x = 131,816,078,564.67/493,582.88
  6. Step 6: Final answer
    x = 267,059.67

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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.