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Finding the Fourth Proportional to 470,351.40, 649,097.02 and 255,503.76

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Solution

The fourth proportional to 470,351.40, 649,097.02 and 255,503.76 is: 352,601.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,351.40 : 649,097.02 = 255,503.76 : x
  2. Step 2: Convert to fraction form
    470,351.40/649,097.02 = 255,503.76/x
  3. Step 3: Cross multiply
    470,351.40x = 649,097.02 × 255,503.76
  4. Step 4: Simplify right side
    470,351.40x = 165,846,729,214.80
  5. Step 5: Solve for x
    x = 165,846,729,214.80/470,351.40
  6. Step 6: Final answer
    x = 352,601.76

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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.