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Finding the Fourth Proportional to 470,898.45, 649,822.10 and 256,031.10

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Solution

The fourth proportional to 470,898.45, 649,822.10 and 256,031.10 is: 353,313.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,898.45 : 649,822.10 = 256,031.10 : x
  2. Step 2: Convert to fraction form
    470,898.45/649,822.10 = 256,031.10/x
  3. Step 3: Cross multiply
    470,898.45x = 649,822.10 × 256,031.10
  4. Step 4: Simplify right side
    470,898.45x = 166,374,665,787.16
  5. Step 5: Solve for x
    x = 166,374,665,787.16/470,898.45
  6. Step 6: Final answer
    x = 353,313.26

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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.