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Finding the Fourth Proportional to 298,952, 412,553.76 and 164,824.64

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Solution

The fourth proportional to 298,952, 412,553.76 and 164,824.64 is: 227,458.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,952 : 412,553.76 = 164,824.64 : x
  2. Step 2: Convert to fraction form
    298,952/412,553.76 = 164,824.64/x
  3. Step 3: Cross multiply
    298,952x = 412,553.76 × 164,824.64
  4. Step 4: Simplify right side
    298,952x = 67,999,024,972.65
  5. Step 5: Solve for x
    x = 67,999,024,972.65/298,952
  6. Step 6: Final answer
    x = 227,458.00

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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.