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Finding the Fourth Proportional to 458,708.22, 687,748.32 and 233,632.98

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Solution

The fourth proportional to 458,708.22, 687,748.32 and 233,632.98 is: 350,289.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,708.22 : 687,748.32 = 233,632.98 : x
  2. Step 2: Convert to fraction form
    458,708.22/687,748.32 = 233,632.98/x
  3. Step 3: Cross multiply
    458,708.22x = 687,748.32 × 233,632.98
  4. Step 4: Simplify right side
    458,708.22x = 160,680,689,491.59
  5. Step 5: Solve for x
    x = 160,680,689,491.59/458,708.22
  6. Step 6: Final answer
    x = 350,289.54

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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.