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Finding the Fourth Proportional to 520,057.65, 729,655.35 and 520,057.65

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Solution

The fourth proportional to 520,057.65, 729,655.35 and 520,057.65 is: 729,655.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,057.65 : 729,655.35 = 520,057.65 : x
  2. Step 2: Convert to fraction form
    520,057.65/729,655.35 = 520,057.65/x
  3. Step 3: Cross multiply
    520,057.65x = 729,655.35 × 520,057.65
  4. Step 4: Simplify right side
    520,057.65x = 379,462,846,630.93
  5. Step 5: Solve for x
    x = 379,462,846,630.93/520,057.65
  6. Step 6: Final answer
    x = 729,655.35

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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.