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Finding the Fourth Proportional to 685,436.84, 945,605.05 and 413,353.54

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Solution

The fourth proportional to 685,436.84, 945,605.05 and 413,353.54 is: 570,248.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,436.84 : 945,605.05 = 413,353.54 : x
  2. Step 2: Convert to fraction form
    685,436.84/945,605.05 = 413,353.54/x
  3. Step 3: Cross multiply
    685,436.84x = 945,605.05 × 413,353.54
  4. Step 4: Simplify right side
    685,436.84x = 390,869,197,333.11
  5. Step 5: Solve for x
    x = 390,869,197,333.11/685,436.84
  6. Step 6: Final answer
    x = 570,248.30

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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.