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Finding the Fourth Proportional to 304,871.04, 420,780.89 and 175,892.81

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Solution

The fourth proportional to 304,871.04, 420,780.89 and 175,892.81 is: 242,766.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,871.04 : 420,780.89 = 175,892.81 : x
  2. Step 2: Convert to fraction form
    304,871.04/420,780.89 = 175,892.81/x
  3. Step 3: Cross multiply
    304,871.04x = 420,780.89 × 175,892.81
  4. Step 4: Simplify right side
    304,871.04x = 74,012,331,472.23
  5. Step 5: Solve for x
    x = 74,012,331,472.23/304,871.04
  6. Step 6: Final answer
    x = 242,766.03

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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.