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Finding the Fourth Proportional to 256,525.40, 384,788.10 and 185,666.60

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Solution

The fourth proportional to 256,525.40, 384,788.10 and 185,666.60 is: 278,499.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,525.40 : 384,788.10 = 185,666.60 : x
  2. Step 2: Convert to fraction form
    256,525.40/384,788.10 = 185,666.60/x
  3. Step 3: Cross multiply
    256,525.40x = 384,788.10 × 185,666.60
  4. Step 4: Simplify right side
    256,525.40x = 71,442,298,247.46
  5. Step 5: Solve for x
    x = 71,442,298,247.46/256,525.40
  6. Step 6: Final answer
    x = 278,499.90

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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.