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Finding the Fourth Proportional to 338,486, 467,113.92 and 187,586.24

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Solution

The fourth proportional to 338,486, 467,113.92 and 187,586.24 is: 258,870.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,486 : 467,113.92 = 187,586.24 : x
  2. Step 2: Convert to fraction form
    338,486/467,113.92 = 187,586.24/x
  3. Step 3: Cross multiply
    338,486x = 467,113.92 × 187,586.24
  4. Step 4: Simplify right side
    338,486x = 87,624,143,904.46
  5. Step 5: Solve for x
    x = 87,624,143,904.46/338,486
  6. Step 6: Final answer
    x = 258,870.81

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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.