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Finding the Fourth Proportional to 458,497.18, 686,851.10 and 300,245.86

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Solution

The fourth proportional to 458,497.18, 686,851.10 and 300,245.86 is: 449,782.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,497.18 : 686,851.10 = 300,245.86 : x
  2. Step 2: Convert to fraction form
    458,497.18/686,851.10 = 300,245.86/x
  3. Step 3: Cross multiply
    458,497.18x = 686,851.10 × 300,245.86
  4. Step 4: Simplify right side
    458,497.18x = 206,224,199,211.45
  5. Step 5: Solve for x
    x = 206,224,199,211.45/458,497.18
  6. Step 6: Final answer
    x = 449,782.92

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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.