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Finding the Fourth Proportional to 304,591.14, 420,379.74 and 175,504.89

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Solution

The fourth proportional to 304,591.14, 420,379.74 and 175,504.89 is: 242,222.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,591.14 : 420,379.74 = 175,504.89 : x
  2. Step 2: Convert to fraction form
    304,591.14/420,379.74 = 175,504.89/x
  3. Step 3: Cross multiply
    304,591.14x = 420,379.74 × 175,504.89
  4. Step 4: Simplify right side
    304,591.14x = 73,778,700,026.93
  5. Step 5: Solve for x
    x = 73,778,700,026.93/304,591.14
  6. Step 6: Final answer
    x = 242,222.08

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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.