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Finding the Fourth Proportional to 489,259.36, 733,962 and 173,689.84

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Solution

The fourth proportional to 489,259.36, 733,962 and 173,689.84 is: 260,560.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,259.36 : 733,962 = 173,689.84 : x
  2. Step 2: Convert to fraction form
    489,259.36/733,962 = 173,689.84/x
  3. Step 3: Cross multiply
    489,259.36x = 733,962 × 173,689.84
  4. Step 4: Simplify right side
    489,259.36x = 127,481,742,346.08
  5. Step 5: Solve for x
    x = 127,481,742,346.08/489,259.36
  6. Step 6: Final answer
    x = 260,560.66

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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.