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Finding the Fourth Proportional to 470,893.99, 649,826.06 and 256,039.47

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Solution

The fourth proportional to 470,893.99, 649,826.06 and 256,039.47 is: 353,330.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,893.99 : 649,826.06 = 256,039.47 : x
  2. Step 2: Convert to fraction form
    470,893.99/649,826.06 = 256,039.47/x
  3. Step 3: Cross multiply
    470,893.99x = 649,826.06 × 256,039.47
  4. Step 4: Simplify right side
    470,893.99x = 166,381,119,994.59
  5. Step 5: Solve for x
    x = 166,381,119,994.59/470,893.99
  6. Step 6: Final answer
    x = 353,330.31

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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.