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Finding the Fourth Proportional to 493,592.81, 740,236.10 and 178,008.71

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Solution

The fourth proportional to 493,592.81, 740,236.10 and 178,008.71 is: 266,957.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,592.81 : 740,236.10 = 178,008.71 : x
  2. Step 2: Convert to fraction form
    493,592.81/740,236.10 = 178,008.71/x
  3. Step 3: Cross multiply
    493,592.81x = 740,236.10 × 178,008.71
  4. Step 4: Simplify right side
    493,592.81x = 131,768,468,665.21
  5. Step 5: Solve for x
    x = 131,768,468,665.21/493,592.81
  6. Step 6: Final answer
    x = 266,957.84

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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.