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Finding the Fourth Proportional to 298,937, 412,533.06 and 164,803.88

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Solution

The fourth proportional to 298,937, 412,533.06 and 164,803.88 is: 227,429.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,937 : 412,533.06 = 164,803.88 : x
  2. Step 2: Convert to fraction form
    298,937/412,533.06 = 164,803.88/x
  3. Step 3: Cross multiply
    298,937x = 412,533.06 × 164,803.88
  4. Step 4: Simplify right side
    298,937x = 67,987,048,916.27
  5. Step 5: Solve for x
    x = 67,987,048,916.27/298,937
  6. Step 6: Final answer
    x = 227,429.35

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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.