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Finding the Fourth Proportional to 548,852.60, 821,666.10 and 409,230.20

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Solution

The fourth proportional to 548,852.60, 821,666.10 and 409,230.20 is: 612,642.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,852.60 : 821,666.10 = 409,230.20 : x
  2. Step 2: Convert to fraction form
    548,852.60/821,666.10 = 409,230.20/x
  3. Step 3: Cross multiply
    548,852.60x = 821,666.10 × 409,230.20
  4. Step 4: Simplify right side
    548,852.60x = 336,250,582,436.22
  5. Step 5: Solve for x
    x = 336,250,582,436.22/548,852.60
  6. Step 6: Final answer
    x = 612,642.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.