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Finding the Fourth Proportional to 647,140.40, 970,537.80 and 197,860.40

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Solution

The fourth proportional to 647,140.40, 970,537.80 and 197,860.40 is: 296,737.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,140.40 : 970,537.80 = 197,860.40 : x
  2. Step 2: Convert to fraction form
    647,140.40/970,537.80 = 197,860.40/x
  3. Step 3: Cross multiply
    647,140.40x = 970,537.80 × 197,860.40
  4. Step 4: Simplify right side
    647,140.40x = 192,030,997,323.12
  5. Step 5: Solve for x
    x = 192,030,997,323.12/647,140.40
  6. Step 6: Final answer
    x = 296,737.77

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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.