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Finding the Fourth Proportional to 328,409, 453,204.30 and 177,506

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Solution

The fourth proportional to 328,409, 453,204.30 and 177,506 is: 244,958.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,409 : 453,204.30 = 177,506 : x
  2. Step 2: Convert to fraction form
    328,409/453,204.30 = 177,506/x
  3. Step 3: Cross multiply
    328,409x = 453,204.30 × 177,506
  4. Step 4: Simplify right side
    328,409x = 80,446,482,475.80
  5. Step 5: Solve for x
    x = 80,446,482,475.80/328,409
  6. Step 6: Final answer
    x = 244,958.22

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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.