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Finding the Fourth Proportional to 416,537.34, 624,676.65 and 150,263.22

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Solution

The fourth proportional to 416,537.34, 624,676.65 and 150,263.22 is: 225,348.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,537.34 : 624,676.65 = 150,263.22 : x
  2. Step 2: Convert to fraction form
    416,537.34/624,676.65 = 150,263.22/x
  3. Step 3: Cross multiply
    416,537.34x = 624,676.65 × 150,263.22
  4. Step 4: Simplify right side
    416,537.34x = 93,865,924,887.81
  5. Step 5: Solve for x
    x = 93,865,924,887.81/416,537.34
  6. Step 6: Final answer
    x = 225,348.16

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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.