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Finding the Fourth Proportional to 598,952.81, 826,627.36 and 340,892.50

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Solution

The fourth proportional to 598,952.81, 826,627.36 and 340,892.50 is: 470,472.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,952.81 : 826,627.36 = 340,892.50 : x
  2. Step 2: Convert to fraction form
    598,952.81/826,627.36 = 340,892.50/x
  3. Step 3: Cross multiply
    598,952.81x = 826,627.36 × 340,892.50
  4. Step 4: Simplify right side
    598,952.81x = 281,791,066,040.45
  5. Step 5: Solve for x
    x = 281,791,066,040.45/598,952.81
  6. Step 6: Final answer
    x = 470,472.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.