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Finding the Fourth Proportional to 421,546.09, 632,352.12 and 122,031.16

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Solution

The fourth proportional to 421,546.09, 632,352.12 and 122,031.16 is: 183,056.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,546.09 : 632,352.12 = 122,031.16 : x
  2. Step 2: Convert to fraction form
    421,546.09/632,352.12 = 122,031.16/x
  3. Step 3: Cross multiply
    421,546.09x = 632,352.12 × 122,031.16
  4. Step 4: Simplify right side
    421,546.09x = 77,166,662,732.06
  5. Step 5: Solve for x
    x = 77,166,662,732.06/421,546.09
  6. Step 6: Final answer
    x = 183,056.29

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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.