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Finding the Fourth Proportional to 470,511.46, 649,304.49 and 255,652.30

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Solution

The fourth proportional to 470,511.46, 649,304.49 and 255,652.30 is: 352,799.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,511.46 : 649,304.49 = 255,652.30 : x
  2. Step 2: Convert to fraction form
    470,511.46/649,304.49 = 255,652.30/x
  3. Step 3: Cross multiply
    470,511.46x = 649,304.49 × 255,652.30
  4. Step 4: Simplify right side
    470,511.46x = 165,996,186,268.83
  5. Step 5: Solve for x
    x = 165,996,186,268.83/470,511.46
  6. Step 6: Final answer
    x = 352,799.45

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Similar ratio
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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.