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Finding the Fourth Proportional to 458,698.43, 687,775.12 and 174,409.79

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Solution

The fourth proportional to 458,698.43, 687,775.12 and 174,409.79 is: 261,511.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,698.43 : 687,775.12 = 174,409.79 : x
  2. Step 2: Convert to fraction form
    458,698.43/687,775.12 = 174,409.79/x
  3. Step 3: Cross multiply
    458,698.43x = 687,775.12 × 174,409.79
  4. Step 4: Simplify right side
    458,698.43x = 119,954,710,371.53
  5. Step 5: Solve for x
    x = 119,954,710,371.53/458,698.43
  6. Step 6: Final answer
    x = 261,511.05

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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.