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Finding the Fourth Proportional to 647,970.35, 971,167.53 and 458,485.31

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Solution

The fourth proportional to 647,970.35, 971,167.53 and 458,485.31 is: 687,170.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,970.35 : 971,167.53 = 458,485.31 : x
  2. Step 2: Convert to fraction form
    647,970.35/971,167.53 = 458,485.31/x
  3. Step 3: Cross multiply
    647,970.35x = 971,167.53 × 458,485.31
  4. Step 4: Simplify right side
    647,970.35x = 445,266,046,053.98
  5. Step 5: Solve for x
    x = 445,266,046,053.98/647,970.35
  6. Step 6: Final answer
    x = 687,170.40

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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.