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Finding the Fourth Proportional to 413,368, 619,894.56 and 244,935.84

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Solution

The fourth proportional to 413,368, 619,894.56 and 244,935.84 is: 367,310.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,368 : 619,894.56 = 244,935.84 : x
  2. Step 2: Convert to fraction form
    413,368/619,894.56 = 244,935.84/x
  3. Step 3: Cross multiply
    413,368x = 619,894.56 × 244,935.84
  4. Step 4: Simplify right side
    413,368x = 151,834,394,765.03
  5. Step 5: Solve for x
    x = 151,834,394,765.03/413,368
  6. Step 6: Final answer
    x = 367,310.47

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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.