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Finding the Fourth Proportional to 598,206, 825,495 and 356,483.16

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Solution

The fourth proportional to 598,206, 825,495 and 356,483.16 is: 491,929.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,206 : 825,495 = 356,483.16 : x
  2. Step 2: Convert to fraction form
    598,206/825,495 = 356,483.16/x
  3. Step 3: Cross multiply
    598,206x = 825,495 × 356,483.16
  4. Step 4: Simplify right side
    598,206x = 294,275,066,164.20
  5. Step 5: Solve for x
    x = 294,275,066,164.20/598,206
  6. Step 6: Final answer
    x = 491,929.31

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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.