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Finding the Fourth Proportional to 470,916.59, 649,863.41 and 256,057.20

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Solution

The fourth proportional to 470,916.59, 649,863.41 and 256,057.20 is: 353,358.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,916.59 : 649,863.41 = 256,057.20 : x
  2. Step 2: Convert to fraction form
    470,916.59/649,863.41 = 256,057.20/x
  3. Step 3: Cross multiply
    470,916.59x = 649,863.41 × 256,057.20
  4. Step 4: Simplify right side
    470,916.59x = 166,402,203,866.77
  5. Step 5: Solve for x
    x = 166,402,203,866.77/470,916.59
  6. Step 6: Final answer
    x = 353,358.13

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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.