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Finding the Fourth Proportional to 598,257, 825,594.66 and 329,985

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Solution

The fourth proportional to 598,257, 825,594.66 and 329,985 is: 455,379.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,257 : 825,594.66 = 329,985 : x
  2. Step 2: Convert to fraction form
    598,257/825,594.66 = 329,985/x
  3. Step 3: Cross multiply
    598,257x = 825,594.66 × 329,985
  4. Step 4: Simplify right side
    598,257x = 272,433,853,880.10
  5. Step 5: Solve for x
    x = 272,433,853,880.10/598,257
  6. Step 6: Final answer
    x = 455,379.30

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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.