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Finding the Fourth Proportional to 468,174.35, 645,875.54 and 274,484.06

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Solution

The fourth proportional to 468,174.35, 645,875.54 and 274,484.06 is: 378,667.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,174.35 : 645,875.54 = 274,484.06 : x
  2. Step 2: Convert to fraction form
    468,174.35/645,875.54 = 274,484.06/x
  3. Step 3: Cross multiply
    468,174.35x = 645,875.54 × 274,484.06
  4. Step 4: Simplify right side
    468,174.35x = 177,282,540,473.89
  5. Step 5: Solve for x
    x = 177,282,540,473.89/468,174.35
  6. Step 6: Final answer
    x = 378,667.78

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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.