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Finding the Fourth Proportional to 598,515.86, 825,704.07 and 417,335.06

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Solution

The fourth proportional to 598,515.86, 825,704.07 and 417,335.06 is: 575,749.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,515.86 : 825,704.07 = 417,335.06 : x
  2. Step 2: Convert to fraction form
    598,515.86/825,704.07 = 417,335.06/x
  3. Step 3: Cross multiply
    598,515.86x = 825,704.07 × 417,335.06
  4. Step 4: Simplify right side
    598,515.86x = 344,595,257,595.69
  5. Step 5: Solve for x
    x = 344,595,257,595.69/598,515.86
  6. Step 6: Final answer
    x = 575,749.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.