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Finding the Fourth Proportional to 493,762.40, 740,564.40 and 178,056.80

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Solution

The fourth proportional to 493,762.40, 740,564.40 and 178,056.80 is: 267,056.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,762.40 : 740,564.40 = 178,056.80 : x
  2. Step 2: Convert to fraction form
    493,762.40/740,564.40 = 178,056.80/x
  3. Step 3: Cross multiply
    493,762.40x = 740,564.40 × 178,056.80
  4. Step 4: Simplify right side
    493,762.40x = 131,862,527,257.92
  5. Step 5: Solve for x
    x = 131,862,527,257.92/493,762.40
  6. Step 6: Final answer
    x = 267,056.64

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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.