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Finding the Fourth Proportional to 413,554.71, 619,891.03 and 235,678.71

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Solution

The fourth proportional to 413,554.71, 619,891.03 and 235,678.71 is: 353,266.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,554.71 : 619,891.03 = 235,678.71 : x
  2. Step 2: Convert to fraction form
    413,554.71/619,891.03 = 235,678.71/x
  3. Step 3: Cross multiply
    413,554.71x = 619,891.03 × 235,678.71
  4. Step 4: Simplify right side
    413,554.71x = 146,095,119,584.47
  5. Step 5: Solve for x
    x = 146,095,119,584.47/413,554.71
  6. Step 6: Final answer
    x = 353,266.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.