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Finding the Fourth Proportional to 504,753.84, 696,558.96 and 289,907.84

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Solution

The fourth proportional to 504,753.84, 696,558.96 and 289,907.84 is: 400,072.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,753.84 : 696,558.96 = 289,907.84 : x
  2. Step 2: Convert to fraction form
    504,753.84/696,558.96 = 289,907.84/x
  3. Step 3: Cross multiply
    504,753.84x = 696,558.96 × 289,907.84
  4. Step 4: Simplify right side
    504,753.84x = 201,937,903,526.25
  5. Step 5: Solve for x
    x = 201,937,903,526.25/504,753.84
  6. Step 6: Final answer
    x = 400,072.05

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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.