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Finding the Fourth Proportional to 598,620.56, 826,401.12 and 462,348.60

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Solution

The fourth proportional to 598,620.56, 826,401.12 and 462,348.60 is: 638,276.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,620.56 : 826,401.12 = 462,348.60 : x
  2. Step 2: Convert to fraction form
    598,620.56/826,401.12 = 462,348.60/x
  3. Step 3: Cross multiply
    598,620.56x = 826,401.12 × 462,348.60
  4. Step 4: Simplify right side
    598,620.56x = 382,085,400,870.43
  5. Step 5: Solve for x
    x = 382,085,400,870.43/598,620.56
  6. Step 6: Final answer
    x = 638,276.44

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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.