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Finding the Fourth Proportional to 646,343.40, 968,917.32 and 330,103.20

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Solution

The fourth proportional to 646,343.40, 968,917.32 and 330,103.20 is: 494,849.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,343.40 : 968,917.32 = 330,103.20 : x
  2. Step 2: Convert to fraction form
    646,343.40/968,917.32 = 330,103.20/x
  3. Step 3: Cross multiply
    646,343.40x = 968,917.32 × 330,103.20
  4. Step 4: Simplify right side
    646,343.40x = 319,842,707,867.42
  5. Step 5: Solve for x
    x = 319,842,707,867.42/646,343.40
  6. Step 6: Final answer
    x = 494,849.50

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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.