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Finding the Fourth Proportional to 470,511.37, 649,304.61 and 255,652.30

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Solution

The fourth proportional to 470,511.37, 649,304.61 and 255,652.30 is: 352,799.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,511.37 : 649,304.61 = 255,652.30 : x
  2. Step 2: Convert to fraction form
    470,511.37/649,304.61 = 255,652.30/x
  3. Step 3: Cross multiply
    470,511.37x = 649,304.61 × 255,652.30
  4. Step 4: Simplify right side
    470,511.37x = 165,996,216,947.10
  5. Step 5: Solve for x
    x = 165,996,216,947.10/470,511.37
  6. Step 6: Final answer
    x = 352,799.59

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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.