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Finding the Fourth Proportional to 304,402.41, 420,047.37 and 175,306.50

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Solution

The fourth proportional to 304,402.41, 420,047.37 and 175,306.50 is: 241,906.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,402.41 : 420,047.37 = 175,306.50 : x
  2. Step 2: Convert to fraction form
    304,402.41/420,047.37 = 175,306.50/x
  3. Step 3: Cross multiply
    304,402.41x = 420,047.37 × 175,306.50
  4. Step 4: Simplify right side
    304,402.41x = 73,637,034,268.91
  5. Step 5: Solve for x
    x = 73,637,034,268.91/304,402.41
  6. Step 6: Final answer
    x = 241,906.87

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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.