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Finding the Fourth Proportional to 598,295.70, 823,968.45 and 585,232.02

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Solution

The fourth proportional to 598,295.70, 823,968.45 and 585,232.02 is: 805,977.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,295.70 : 823,968.45 = 585,232.02 : x
  2. Step 2: Convert to fraction form
    598,295.70/823,968.45 = 585,232.02/x
  3. Step 3: Cross multiply
    598,295.70x = 823,968.45 × 585,232.02
  4. Step 4: Simplify right side
    598,295.70x = 482,212,720,409.77
  5. Step 5: Solve for x
    x = 482,212,720,409.77/598,295.70
  6. Step 6: Final answer
    x = 805,977.25

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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.