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Finding the Fourth Proportional to 520,096.40, 729,709.60 and 520,096.40

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Solution

The fourth proportional to 520,096.40, 729,709.60 and 520,096.40 is: 729,709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,096.40 : 729,709.60 = 520,096.40 : x
  2. Step 2: Convert to fraction form
    520,096.40/729,709.60 = 520,096.40/x
  3. Step 3: Cross multiply
    520,096.40x = 729,709.60 × 520,096.40
  4. Step 4: Simplify right side
    520,096.40x = 379,519,336,005.44
  5. Step 5: Solve for x
    x = 379,519,336,005.44/520,096.40
  6. Step 6: Final answer
    x = 729,709.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.