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Finding the Fourth Proportional to 458,624.19, 687,842.94 and 174,215.16

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Solution

The fourth proportional to 458,624.19, 687,842.94 and 174,215.16 is: 261,287.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,624.19 : 687,842.94 = 174,215.16 : x
  2. Step 2: Convert to fraction form
    458,624.19/687,842.94 = 174,215.16/x
  3. Step 3: Cross multiply
    458,624.19x = 687,842.94 × 174,215.16
  4. Step 4: Simplify right side
    458,624.19x = 119,832,667,846.97
  5. Step 5: Solve for x
    x = 119,832,667,846.97/458,624.19
  6. Step 6: Final answer
    x = 261,287.28

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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.