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Finding the Fourth Proportional to 470,579.56, 649,386.68 and 255,712.48

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Solution

The fourth proportional to 470,579.56, 649,386.68 and 255,712.48 is: 352,876.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,579.56 : 649,386.68 = 255,712.48 : x
  2. Step 2: Convert to fraction form
    470,579.56/649,386.68 = 255,712.48/x
  3. Step 3: Cross multiply
    470,579.56x = 649,386.68 × 255,712.48
  4. Step 4: Simplify right side
    470,579.56x = 166,056,278,421.77
  5. Step 5: Solve for x
    x = 166,056,278,421.77/470,579.56
  6. Step 6: Final answer
    x = 352,876.10

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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.