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Finding the Fourth Proportional to 465,463.70, 642,335.51 and 258,726.67

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Solution

The fourth proportional to 465,463.70, 642,335.51 and 258,726.67 is: 357,040.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,463.70 : 642,335.51 = 258,726.67 : x
  2. Step 2: Convert to fraction form
    465,463.70/642,335.51 = 258,726.67/x
  3. Step 3: Cross multiply
    465,463.70x = 642,335.51 × 258,726.67
  4. Step 4: Simplify right side
    465,463.70x = 166,189,325,110.69
  5. Step 5: Solve for x
    x = 166,189,325,110.69/465,463.70
  6. Step 6: Final answer
    x = 357,040.36

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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.