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Finding the Fourth Proportional to 406,945.40, 610,418.10 and 340,460.60

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Solution

The fourth proportional to 406,945.40, 610,418.10 and 340,460.60 is: 510,690.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,945.40 : 610,418.10 = 340,460.60 : x
  2. Step 2: Convert to fraction form
    406,945.40/610,418.10 = 340,460.60/x
  3. Step 3: Cross multiply
    406,945.40x = 610,418.10 × 340,460.60
  4. Step 4: Simplify right side
    406,945.40x = 207,823,312,576.86
  5. Step 5: Solve for x
    x = 207,823,312,576.86/406,945.40
  6. Step 6: Final answer
    x = 510,690.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.