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Finding the Fourth Proportional to 520,738.40, 779,293.20 and 310,527.20

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Solution

The fourth proportional to 520,738.40, 779,293.20 and 310,527.20 is: 464,708.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,738.40 : 779,293.20 = 310,527.20 : x
  2. Step 2: Convert to fraction form
    520,738.40/779,293.20 = 310,527.20/x
  3. Step 3: Cross multiply
    520,738.40x = 779,293.20 × 310,527.20
  4. Step 4: Simplify right side
    520,738.40x = 241,991,735,375.04
  5. Step 5: Solve for x
    x = 241,991,735,375.04/520,738.40
  6. Step 6: Final answer
    x = 464,708.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.