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Finding the Fourth Proportional to 598,715.50, 826,228.47 and 330,443.50

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Solution

The fourth proportional to 598,715.50, 826,228.47 and 330,443.50 is: 456,012.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,715.50 : 826,228.47 = 330,443.50 : x
  2. Step 2: Convert to fraction form
    598,715.50/826,228.47 = 330,443.50/x
  3. Step 3: Cross multiply
    598,715.50x = 826,228.47 × 330,443.50
  4. Step 4: Simplify right side
    598,715.50x = 273,021,827,426.45
  5. Step 5: Solve for x
    x = 273,021,827,426.45/598,715.50
  6. Step 6: Final answer
    x = 456,012.63

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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.