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Finding the Fourth Proportional to 483,422.36, 723,952.53 and 417,287.48

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Solution

The fourth proportional to 483,422.36, 723,952.53 and 417,287.48 is: 624,911.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,422.36 : 723,952.53 = 417,287.48 : x
  2. Step 2: Convert to fraction form
    483,422.36/723,952.53 = 417,287.48/x
  3. Step 3: Cross multiply
    483,422.36x = 723,952.53 × 417,287.48
  4. Step 4: Simplify right side
    483,422.36x = 302,096,323,263.56
  5. Step 5: Solve for x
    x = 302,096,323,263.56/483,422.36
  6. Step 6: Final answer
    x = 624,911.78

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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.