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Finding the Fourth Proportional to 454,532.86, 682,000.14 and 238,339.96

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Solution

The fourth proportional to 454,532.86, 682,000.14 and 238,339.96 is: 357,615.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,532.86 : 682,000.14 = 238,339.96 : x
  2. Step 2: Convert to fraction form
    454,532.86/682,000.14 = 238,339.96/x
  3. Step 3: Cross multiply
    454,532.86x = 682,000.14 × 238,339.96
  4. Step 4: Simplify right side
    454,532.86x = 162,547,886,087.59
  5. Step 5: Solve for x
    x = 162,547,886,087.59/454,532.86
  6. Step 6: Final answer
    x = 357,615.26

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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.