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Finding the Fourth Proportional to 520,086.40, 729,104 and 520,086.40

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Solution

The fourth proportional to 520,086.40, 729,104 and 520,086.40 is: 729,104

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,086.40 : 729,104 = 520,086.40 : x
  2. Step 2: Convert to fraction form
    520,086.40/729,104 = 520,086.40/x
  3. Step 3: Cross multiply
    520,086.40x = 729,104 × 520,086.40
  4. Step 4: Simplify right side
    520,086.40x = 379,197,074,585.60
  5. Step 5: Solve for x
    x = 379,197,074,585.60/520,086.40
  6. Step 6: Final answer
    x = 729,104

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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.