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Finding the Fourth Proportional to 647,281.40, 970,749.30 and 198,001.40

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Solution

The fourth proportional to 647,281.40, 970,749.30 and 198,001.40 is: 296,949.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,281.40 : 970,749.30 = 198,001.40 : x
  2. Step 2: Convert to fraction form
    647,281.40/970,749.30 = 198,001.40/x
  3. Step 3: Cross multiply
    647,281.40x = 970,749.30 × 198,001.40
  4. Step 4: Simplify right side
    647,281.40x = 192,209,720,449.02
  5. Step 5: Solve for x
    x = 192,209,720,449.02/647,281.40
  6. Step 6: Final answer
    x = 296,949.24

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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.