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Finding the Fourth Proportional to 562,767.84, 844,121.52 and 142,047.36

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Solution

The fourth proportional to 562,767.84, 844,121.52 and 142,047.36 is: 213,063.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,767.84 : 844,121.52 = 142,047.36 : x
  2. Step 2: Convert to fraction form
    562,767.84/844,121.52 = 142,047.36/x
  3. Step 3: Cross multiply
    562,767.84x = 844,121.52 × 142,047.36
  4. Step 4: Simplify right side
    562,767.84x = 119,905,233,435.19
  5. Step 5: Solve for x
    x = 119,905,233,435.19/562,767.84
  6. Step 6: Final answer
    x = 213,063.41

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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.