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Finding the Fourth Proportional to 470,842.13, 649,758.94 and 255,982.20

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Solution

The fourth proportional to 470,842.13, 649,758.94 and 255,982.20 is: 353,253.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,842.13 : 649,758.94 = 255,982.20 : x
  2. Step 2: Convert to fraction form
    470,842.13/649,758.94 = 255,982.20/x
  3. Step 3: Cross multiply
    470,842.13x = 649,758.94 × 255,982.20
  4. Step 4: Simplify right side
    470,842.13x = 166,326,721,294.22
  5. Step 5: Solve for x
    x = 166,326,721,294.22/470,842.13
  6. Step 6: Final answer
    x = 353,253.69

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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.