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Finding the Fourth Proportional to 470,886.44, 649,826.66 and 256,026.28

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Solution

The fourth proportional to 470,886.44, 649,826.66 and 256,026.28 is: 353,318.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,886.44 : 649,826.66 = 256,026.28 : x
  2. Step 2: Convert to fraction form
    470,886.44/649,826.66 = 256,026.28/x
  3. Step 3: Cross multiply
    470,886.44x = 649,826.66 × 256,026.28
  4. Step 4: Simplify right side
    470,886.44x = 166,372,702,404.63
  5. Step 5: Solve for x
    x = 166,372,702,404.63/470,886.44
  6. Step 6: Final answer
    x = 353,318.10

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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.