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Finding the Fourth Proportional to 474,065.10, 654,205.38 and 259,202.88

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Solution

The fourth proportional to 474,065.10, 654,205.38 and 259,202.88 is: 357,697.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,065.10 : 654,205.38 = 259,202.88 : x
  2. Step 2: Convert to fraction form
    474,065.10/654,205.38 = 259,202.88/x
  3. Step 3: Cross multiply
    474,065.10x = 654,205.38 × 259,202.88
  4. Step 4: Simplify right side
    474,065.10x = 169,571,918,607.49
  5. Step 5: Solve for x
    x = 169,571,918,607.49/474,065.10
  6. Step 6: Final answer
    x = 357,697.54

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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.