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Finding the Fourth Proportional to 298,637, 412,119.06 and 164,501

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Solution

The fourth proportional to 298,637, 412,119.06 and 164,501 is: 227,011.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,637 : 412,119.06 = 164,501 : x
  2. Step 2: Convert to fraction form
    298,637/412,119.06 = 164,501/x
  3. Step 3: Cross multiply
    298,637x = 412,119.06 × 164,501
  4. Step 4: Simplify right side
    298,637x = 67,793,997,489.06
  5. Step 5: Solve for x
    x = 67,793,997,489.06/298,637
  6. Step 6: Final answer
    x = 227,011.38

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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.