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Finding the Fourth Proportional to 493,698.24, 740,394.22 and 178,114.12

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Solution

The fourth proportional to 493,698.24, 740,394.22 and 178,114.12 is: 267,115.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,698.24 : 740,394.22 = 178,114.12 : x
  2. Step 2: Convert to fraction form
    493,698.24/740,394.22 = 178,114.12/x
  3. Step 3: Cross multiply
    493,698.24x = 740,394.22 × 178,114.12
  4. Step 4: Simplify right side
    493,698.24x = 131,874,664,948.39
  5. Step 5: Solve for x
    x = 131,874,664,948.39/493,698.24
  6. Step 6: Final answer
    x = 267,115.93

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1.5x scale

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.