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Finding the Fourth Proportional to 504,744.84, 696,546.54 and 289,898.82

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Solution

The fourth proportional to 504,744.84, 696,546.54 and 289,898.82 is: 400,059.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,744.84 : 696,546.54 = 289,898.82 : x
  2. Step 2: Convert to fraction form
    504,744.84/696,546.54 = 289,898.82/x
  3. Step 3: Cross multiply
    504,744.84x = 696,546.54 × 289,898.82
  4. Step 4: Simplify right side
    504,744.84x = 201,928,020,021.08
  5. Step 5: Solve for x
    x = 201,928,020,021.08/504,744.84
  6. Step 6: Final answer
    x = 400,059.60

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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.