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Finding the Fourth Proportional to 598,216, 825,555.36 and 329,961.28

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Solution

The fourth proportional to 598,216, 825,555.36 and 329,961.28 is: 455,356.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,216 : 825,555.36 = 329,961.28 : x
  2. Step 2: Convert to fraction form
    598,216/825,555.36 = 329,961.28/x
  3. Step 3: Cross multiply
    598,216x = 825,555.36 × 329,961.28
  4. Step 4: Simplify right side
    598,216x = 272,401,303,296.46
  5. Step 5: Solve for x
    x = 272,401,303,296.46/598,216
  6. Step 6: Final answer
    x = 455,356.10

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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.