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Finding the Fourth Proportional to 377,481.44, 565,405.44 and 177,502.16

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Solution

The fourth proportional to 377,481.44, 565,405.44 and 177,502.16 is: 265,869.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,481.44 : 565,405.44 = 177,502.16 : x
  2. Step 2: Convert to fraction form
    377,481.44/565,405.44 = 177,502.16/x
  3. Step 3: Cross multiply
    377,481.44x = 565,405.44 × 177,502.16
  4. Step 4: Simplify right side
    377,481.44x = 100,360,686,875.75
  5. Step 5: Solve for x
    x = 100,360,686,875.75/377,481.44
  6. Step 6: Final answer
    x = 265,869.20

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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.