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Finding the Fourth Proportional to 471,534.40, 707,301.60 and 284,910.40

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Solution

The fourth proportional to 471,534.40, 707,301.60 and 284,910.40 is: 427,365.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,534.40 : 707,301.60 = 284,910.40 : x
  2. Step 2: Convert to fraction form
    471,534.40/707,301.60 = 284,910.40/x
  3. Step 3: Cross multiply
    471,534.40x = 707,301.60 × 284,910.40
  4. Step 4: Simplify right side
    471,534.40x = 201,517,581,776.64
  5. Step 5: Solve for x
    x = 201,517,581,776.64/471,534.40
  6. Step 6: Final answer
    x = 427,365.60

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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.