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Finding the Fourth Proportional to 334,069.89, 500,999.33 and 109,378.67

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Solution

The fourth proportional to 334,069.89, 500,999.33 and 109,378.67 is: 164,033.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,069.89 : 500,999.33 = 109,378.67 : x
  2. Step 2: Convert to fraction form
    334,069.89/500,999.33 = 109,378.67/x
  3. Step 3: Cross multiply
    334,069.89x = 500,999.33 × 109,378.67
  4. Step 4: Simplify right side
    334,069.89x = 54,798,637,334.40
  5. Step 5: Solve for x
    x = 54,798,637,334.40/334,069.89
  6. Step 6: Final answer
    x = 164,033.45

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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.