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Finding the Fourth Proportional to 647,111.40, 970,494.30 and 197,831.40

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Solution

The fourth proportional to 647,111.40, 970,494.30 and 197,831.40 is: 296,694.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,111.40 : 970,494.30 = 197,831.40 : x
  2. Step 2: Convert to fraction form
    647,111.40/970,494.30 = 197,831.40/x
  3. Step 3: Cross multiply
    647,111.40x = 970,494.30 × 197,831.40
  4. Step 4: Simplify right side
    647,111.40x = 191,994,246,061.02
  5. Step 5: Solve for x
    x = 191,994,246,061.02/647,111.40
  6. Step 6: Final answer
    x = 296,694.27

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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.