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Finding the Fourth Proportional to 534,823.40, 802,235.10 and 415,850.60

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Solution

The fourth proportional to 534,823.40, 802,235.10 and 415,850.60 is: 623,775.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,823.40 : 802,235.10 = 415,850.60 : x
  2. Step 2: Convert to fraction form
    534,823.40/802,235.10 = 415,850.60/x
  3. Step 3: Cross multiply
    534,823.40x = 802,235.10 × 415,850.60
  4. Step 4: Simplify right side
    534,823.40x = 333,609,947,676.06
  5. Step 5: Solve for x
    x = 333,609,947,676.06/534,823.40
  6. Step 6: Final answer
    x = 623,775.90

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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.