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Finding the Fourth Proportional to 269,760.40, 405,101.40 and 176,678.80

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Solution

The fourth proportional to 269,760.40, 405,101.40 and 176,678.80 is: 265,320.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,760.40 : 405,101.40 = 176,678.80 : x
  2. Step 2: Convert to fraction form
    269,760.40/405,101.40 = 176,678.80/x
  3. Step 3: Cross multiply
    269,760.40x = 405,101.40 × 176,678.80
  4. Step 4: Simplify right side
    269,760.40x = 71,572,829,230.32
  5. Step 5: Solve for x
    x = 71,572,829,230.32/269,760.40
  6. Step 6: Final answer
    x = 265,320.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.