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Finding the Fourth Proportional to 304,797.86, 420,581.18 and 175,741.19

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Solution

The fourth proportional to 304,797.86, 420,581.18 and 175,741.19 is: 242,499.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,797.86 : 420,581.18 = 175,741.19 : x
  2. Step 2: Convert to fraction form
    304,797.86/420,581.18 = 175,741.19/x
  3. Step 3: Cross multiply
    304,797.86x = 420,581.18 × 175,741.19
  4. Step 4: Simplify right side
    304,797.86x = 73,913,435,401.25
  5. Step 5: Solve for x
    x = 73,913,435,401.25/304,797.86
  6. Step 6: Final answer
    x = 242,499.85

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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.