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Finding the Fourth Proportional to 527,530.72, 727,949.32 and 309,716.44

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Solution

The fourth proportional to 527,530.72, 727,949.32 and 309,716.44 is: 427,383.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,530.72 : 727,949.32 = 309,716.44 : x
  2. Step 2: Convert to fraction form
    527,530.72/727,949.32 = 309,716.44/x
  3. Step 3: Cross multiply
    527,530.72x = 727,949.32 × 309,716.44
  4. Step 4: Simplify right side
    527,530.72x = 225,457,871,890.82
  5. Step 5: Solve for x
    x = 225,457,871,890.82/527,530.72
  6. Step 6: Final answer
    x = 427,383.40

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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.