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Finding the Fourth Proportional to 658,546.40, 988,280.40 and 284,837.60

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Solution

The fourth proportional to 658,546.40, 988,280.40 and 284,837.60 is: 427,455.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,546.40 : 988,280.40 = 284,837.60 : x
  2. Step 2: Convert to fraction form
    658,546.40/988,280.40 = 284,837.60/x
  3. Step 3: Cross multiply
    658,546.40x = 988,280.40 × 284,837.60
  4. Step 4: Simplify right side
    658,546.40x = 281,499,417,263.04
  5. Step 5: Solve for x
    x = 281,499,417,263.04/658,546.40
  6. Step 6: Final answer
    x = 427,455.71

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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.