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Finding the Fourth Proportional to 531,528.64, 733,519.20 and 289,813.12

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Solution

The fourth proportional to 531,528.64, 733,519.20 and 289,813.12 is: 399,947.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,528.64 : 733,519.20 = 289,813.12 : x
  2. Step 2: Convert to fraction form
    531,528.64/733,519.20 = 289,813.12/x
  3. Step 3: Cross multiply
    531,528.64x = 733,519.20 × 289,813.12
  4. Step 4: Simplify right side
    531,528.64x = 212,583,487,931.90
  5. Step 5: Solve for x
    x = 212,583,487,931.90/531,528.64
  6. Step 6: Final answer
    x = 399,947.38

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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.