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Finding the Fourth Proportional to 470,100.51, 648,743.31 and 255,242.34

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Solution

The fourth proportional to 470,100.51, 648,743.31 and 255,242.34 is: 352,236.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,100.51 : 648,743.31 = 255,242.34 : x
  2. Step 2: Convert to fraction form
    470,100.51/648,743.31 = 255,242.34/x
  3. Step 3: Cross multiply
    470,100.51x = 648,743.31 × 255,242.34
  4. Step 4: Simplify right side
    470,100.51x = 165,586,760,503.75
  5. Step 5: Solve for x
    x = 165,586,760,503.75/470,100.51
  6. Step 6: Final answer
    x = 352,236.93

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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.