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Finding the Fourth Proportional to 409,267.26, 564,875.94 and 275,053.50

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Solution

The fourth proportional to 409,267.26, 564,875.94 and 275,053.50 is: 379,632.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,267.26 : 564,875.94 = 275,053.50 : x
  2. Step 2: Convert to fraction form
    409,267.26/564,875.94 = 275,053.50/x
  3. Step 3: Cross multiply
    409,267.26x = 564,875.94 × 275,053.50
  4. Step 4: Simplify right side
    409,267.26x = 155,371,104,362.79
  5. Step 5: Solve for x
    x = 155,371,104,362.79/409,267.26
  6. Step 6: Final answer
    x = 379,632.38

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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.