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Finding the Fourth Proportional to 219,546.25, 329,320.19 and 53,334.25

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Solution

The fourth proportional to 219,546.25, 329,320.19 and 53,334.25 is: 80,001.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,546.25 : 329,320.19 = 53,334.25 : x
  2. Step 2: Convert to fraction form
    219,546.25/329,320.19 = 53,334.25/x
  3. Step 3: Cross multiply
    219,546.25x = 329,320.19 × 53,334.25
  4. Step 4: Simplify right side
    219,546.25x = 17,564,045,343.51
  5. Step 5: Solve for x
    x = 17,564,045,343.51/219,546.25
  6. Step 6: Final answer
    x = 80,001.57

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1.5x scale

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.