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Finding the Fourth Proportional to 304,594.14, 420,383.88 and 175,507.89

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Solution

The fourth proportional to 304,594.14, 420,383.88 and 175,507.89 is: 242,226.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,594.14 : 420,383.88 = 175,507.89 : x
  2. Step 2: Convert to fraction form
    304,594.14/420,383.88 = 175,507.89/x
  3. Step 3: Cross multiply
    304,594.14x = 420,383.88 × 175,507.89
  4. Step 4: Simplify right side
    304,594.14x = 73,780,687,768.81
  5. Step 5: Solve for x
    x = 73,780,687,768.81/304,594.14
  6. Step 6: Final answer
    x = 242,226.22

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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.