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Finding the Fourth Proportional to 647,438.68, 970,766.85 and 258,005.00

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Solution

The fourth proportional to 647,438.68, 970,766.85 and 258,005.00 is: 386,851.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,438.68 : 970,766.85 = 258,005.00 : x
  2. Step 2: Convert to fraction form
    647,438.68/970,766.85 = 258,005.00/x
  3. Step 3: Cross multiply
    647,438.68x = 970,766.85 × 258,005.00
  4. Step 4: Simplify right side
    647,438.68x = 250,462,698,342.48
  5. Step 5: Solve for x
    x = 250,462,698,342.48/647,438.68
  6. Step 6: Final answer
    x = 386,851.61

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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.