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Finding the Fourth Proportional to 493,698.02, 740,510.07 and 178,154.91

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Solution

The fourth proportional to 493,698.02, 740,510.07 and 178,154.91 is: 267,219.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,698.02 : 740,510.07 = 178,154.91 : x
  2. Step 2: Convert to fraction form
    493,698.02/740,510.07 = 178,154.91/x
  3. Step 3: Cross multiply
    493,698.02x = 740,510.07 × 178,154.91
  4. Step 4: Simplify right side
    493,698.02x = 131,925,504,874.94
  5. Step 5: Solve for x
    x = 131,925,504,874.94/493,698.02
  6. Step 6: Final answer
    x = 267,219.03

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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.