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Finding the Fourth Proportional to 413,583.49, 619,934.13 and 235,707.49

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Solution

The fourth proportional to 413,583.49, 619,934.13 and 235,707.49 is: 353,309.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,583.49 : 619,934.13 = 235,707.49 : x
  2. Step 2: Convert to fraction form
    413,583.49/619,934.13 = 235,707.49/x
  3. Step 3: Cross multiply
    413,583.49x = 619,934.13 × 235,707.49
  4. Step 4: Simplify right side
    413,583.49x = 146,123,117,747.63
  5. Step 5: Solve for x
    x = 146,123,117,747.63/413,583.49
  6. Step 6: Final answer
    x = 353,309.84

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