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Finding the Fourth Proportional to 678,076.90, 935,677.96 and 406,137.80

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Solution

The fourth proportional to 678,076.90, 935,677.96 and 406,137.80 is: 560,429.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,076.90 : 935,677.96 = 406,137.80 : x
  2. Step 2: Convert to fraction form
    678,076.90/935,677.96 = 406,137.80/x
  3. Step 3: Cross multiply
    678,076.90x = 935,677.96 × 406,137.80
  4. Step 4: Simplify right side
    678,076.90x = 380,014,189,506.74
  5. Step 5: Solve for x
    x = 380,014,189,506.74/678,076.90
  6. Step 6: Final answer
    x = 560,429.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.