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Finding the Fourth Proportional to 458,698.31, 687,774.93 and 174,409.66

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Solution

The fourth proportional to 458,698.31, 687,774.93 and 174,409.66 is: 261,510.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,698.31 : 687,774.93 = 174,409.66 : x
  2. Step 2: Convert to fraction form
    458,698.31/687,774.93 = 174,409.66/x
  3. Step 3: Cross multiply
    458,698.31x = 687,774.93 × 174,409.66
  4. Step 4: Simplify right side
    458,698.31x = 119,954,591,697.82
  5. Step 5: Solve for x
    x = 119,954,591,697.82/458,698.31
  6. Step 6: Final answer
    x = 261,510.86

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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.