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Finding the Fourth Proportional to 470,644.31, 649,494.17 and 255,784.38

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Solution

The fourth proportional to 470,644.31, 649,494.17 and 255,784.38 is: 352,985.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,644.31 : 649,494.17 = 255,784.38 : x
  2. Step 2: Convert to fraction form
    470,644.31/649,494.17 = 255,784.38/x
  3. Step 3: Cross multiply
    470,644.31x = 649,494.17 × 255,784.38
  4. Step 4: Simplify right side
    470,644.31x = 166,130,462,308.14
  5. Step 5: Solve for x
    x = 166,130,462,308.14/470,644.31
  6. Step 6: Final answer
    x = 352,985.17

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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.