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Finding the Fourth Proportional to 413,537.40, 620,306.10 and 368,436.60

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Solution

The fourth proportional to 413,537.40, 620,306.10 and 368,436.60 is: 552,654.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,537.40 : 620,306.10 = 368,436.60 : x
  2. Step 2: Convert to fraction form
    413,537.40/620,306.10 = 368,436.60/x
  3. Step 3: Cross multiply
    413,537.40x = 620,306.10 × 368,436.60
  4. Step 4: Simplify right side
    413,537.40x = 228,543,470,443.26
  5. Step 5: Solve for x
    x = 228,543,470,443.26/413,537.40
  6. Step 6: Final answer
    x = 552,654.90

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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.