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Finding the Fourth Proportional to 590,632.20, 886,823.10 and 457,662.60

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Solution

The fourth proportional to 590,632.20, 886,823.10 and 457,662.60 is: 687,171.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,632.20 : 886,823.10 = 457,662.60 : x
  2. Step 2: Convert to fraction form
    590,632.20/886,823.10 = 457,662.60/x
  3. Step 3: Cross multiply
    590,632.20x = 886,823.10 × 457,662.60
  4. Step 4: Simplify right side
    590,632.20x = 405,865,765,686.06
  5. Step 5: Solve for x
    x = 405,865,765,686.06/590,632.20
  6. Step 6: Final answer
    x = 687,171.76

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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.