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Finding the Fourth Proportional to 647,514.70, 971,272.05 and 362,913.10

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Solution

The fourth proportional to 647,514.70, 971,272.05 and 362,913.10 is: 544,369.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,514.70 : 971,272.05 = 362,913.10 : x
  2. Step 2: Convert to fraction form
    647,514.70/971,272.05 = 362,913.10/x
  3. Step 3: Cross multiply
    647,514.70x = 971,272.05 × 362,913.10
  4. Step 4: Simplify right side
    647,514.70x = 352,487,350,608.86
  5. Step 5: Solve for x
    x = 352,487,350,608.86/647,514.70
  6. Step 6: Final answer
    x = 544,369.65

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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.