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Finding the Fourth Proportional to 598,421, 825,792.12 and 326,472.68

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Solution

The fourth proportional to 598,421, 825,792.12 and 326,472.68 is: 450,516.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,421 : 825,792.12 = 326,472.68 : x
  2. Step 2: Convert to fraction form
    598,421/825,792.12 = 326,472.68/x
  3. Step 3: Cross multiply
    598,421x = 825,792.12 × 326,472.68
  4. Step 4: Simplify right side
    598,421x = 269,598,566,539.28
  5. Step 5: Solve for x
    x = 269,598,566,539.28/598,421
  6. Step 6: Final answer
    x = 450,516.55

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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.