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Finding the Fourth Proportional to 456,795.60, 683,249.40 and 409,750.80

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Solution

The fourth proportional to 456,795.60, 683,249.40 and 409,750.80 is: 612,882.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,795.60 : 683,249.40 = 409,750.80 : x
  2. Step 2: Convert to fraction form
    456,795.60/683,249.40 = 409,750.80/x
  3. Step 3: Cross multiply
    456,795.60x = 683,249.40 × 409,750.80
  4. Step 4: Simplify right side
    456,795.60x = 279,961,988,249.52
  5. Step 5: Solve for x
    x = 279,961,988,249.52/456,795.60
  6. Step 6: Final answer
    x = 612,882.41

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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.