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Finding the Fourth Proportional to 647,534.80, 970,881.72 and 310,567.60

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Solution

The fourth proportional to 647,534.80, 970,881.72 and 310,567.60 is: 465,649.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,534.80 : 970,881.72 = 310,567.60 : x
  2. Step 2: Convert to fraction form
    647,534.80/970,881.72 = 310,567.60/x
  3. Step 3: Cross multiply
    647,534.80x = 970,881.72 × 310,567.60
  4. Step 4: Simplify right side
    647,534.80x = 301,524,405,664.27
  5. Step 5: Solve for x
    x = 301,524,405,664.27/647,534.80
  6. Step 6: Final answer
    x = 465,649.73

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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.