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Finding the Fourth Proportional to 520,096.65, 729,709.95 and 520,096.65

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Solution

The fourth proportional to 520,096.65, 729,709.95 and 520,096.65 is: 729,709.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,096.65 : 729,709.95 = 520,096.65 : x
  2. Step 2: Convert to fraction form
    520,096.65/729,709.95 = 520,096.65/x
  3. Step 3: Cross multiply
    520,096.65x = 729,709.95 × 520,096.65
  4. Step 4: Simplify right side
    520,096.65x = 379,519,700,466.67
  5. Step 5: Solve for x
    x = 379,519,700,466.67/520,096.65
  6. Step 6: Final answer
    x = 729,709.95

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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.