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Finding the Fourth Proportional to 598,423, 825,794.88 and 326,474.68

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Solution

The fourth proportional to 598,423, 825,794.88 and 326,474.68 is: 450,519.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,423 : 825,794.88 = 326,474.68 : x
  2. Step 2: Convert to fraction form
    598,423/825,794.88 = 326,474.68/x
  3. Step 3: Cross multiply
    598,423x = 825,794.88 × 326,474.68
  4. Step 4: Simplify right side
    598,423x = 269,601,119,193.64
  5. Step 5: Solve for x
    x = 269,601,119,193.64/598,423
  6. Step 6: Final answer
    x = 450,519.31

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1.5x scale

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.