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Finding the Fourth Proportional to 512,301.96, 707,000.34 and 282,891.60

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Solution

The fourth proportional to 512,301.96, 707,000.34 and 282,891.60 is: 390,403.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,301.96 : 707,000.34 = 282,891.60 : x
  2. Step 2: Convert to fraction form
    512,301.96/707,000.34 = 282,891.60/x
  3. Step 3: Cross multiply
    512,301.96x = 707,000.34 × 282,891.60
  4. Step 4: Simplify right side
    512,301.96x = 200,004,457,383.14
  5. Step 5: Solve for x
    x = 200,004,457,383.14/512,301.96
  6. Step 6: Final answer
    x = 390,403.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.