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Finding the Fourth Proportional to 471,808.40, 707,712.60 and 284,723.60

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Solution

The fourth proportional to 471,808.40, 707,712.60 and 284,723.60 is: 427,085.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,808.40 : 707,712.60 = 284,723.60 : x
  2. Step 2: Convert to fraction form
    471,808.40/707,712.60 = 284,723.60/x
  3. Step 3: Cross multiply
    471,808.40x = 707,712.60 × 284,723.60
  4. Step 4: Simplify right side
    471,808.40x = 201,502,479,237.36
  5. Step 5: Solve for x
    x = 201,502,479,237.36/471,808.40
  6. Step 6: Final answer
    x = 427,085.40

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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.