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Finding the Fourth Proportional to 303,773.04, 419,209.56 and 176,454

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Solution

The fourth proportional to 303,773.04, 419,209.56 and 176,454 is: 243,508.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,773.04 : 419,209.56 = 176,454 : x
  2. Step 2: Convert to fraction form
    303,773.04/419,209.56 = 176,454/x
  3. Step 3: Cross multiply
    303,773.04x = 419,209.56 × 176,454
  4. Step 4: Simplify right side
    303,773.04x = 73,971,203,700.24
  5. Step 5: Solve for x
    x = 73,971,203,700.24/303,773.04
  6. Step 6: Final answer
    x = 243,508.13

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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.