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Finding the Fourth Proportional to 569,057.60, 852,808.80 and 378,977.60

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Solution

The fourth proportional to 569,057.60, 852,808.80 and 378,977.60 is: 567,948.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,057.60 : 852,808.80 = 378,977.60 : x
  2. Step 2: Convert to fraction form
    569,057.60/852,808.80 = 378,977.60/x
  3. Step 3: Cross multiply
    569,057.60x = 852,808.80 × 378,977.60
  4. Step 4: Simplify right side
    569,057.60x = 323,195,432,282.88
  5. Step 5: Solve for x
    x = 323,195,432,282.88/569,057.60
  6. Step 6: Final answer
    x = 567,948.54

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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.