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Finding the Fourth Proportional to 493,890.21, 740,798.26 and 178,347.02

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Solution

The fourth proportional to 493,890.21, 740,798.26 and 178,347.02 is: 267,507.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,890.21 : 740,798.26 = 178,347.02 : x
  2. Step 2: Convert to fraction form
    493,890.21/740,798.26 = 178,347.02/x
  3. Step 3: Cross multiply
    493,890.21x = 740,798.26 × 178,347.02
  4. Step 4: Simplify right side
    493,890.21x = 132,119,157,942.33
  5. Step 5: Solve for x
    x = 132,119,157,942.33/493,890.21
  6. Step 6: Final answer
    x = 267,507.14

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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.