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Finding the Fourth Proportional to 470,735, 649,611.68 and 266,824.48

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Solution

The fourth proportional to 470,735, 649,611.68 and 266,824.48 is: 368,216.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,735 : 649,611.68 = 266,824.48 : x
  2. Step 2: Convert to fraction form
    470,735/649,611.68 = 266,824.48/x
  3. Step 3: Cross multiply
    470,735x = 649,611.68 × 266,824.48
  4. Step 4: Simplify right side
    470,735x = 173,332,298,717.93
  5. Step 5: Solve for x
    x = 173,332,298,717.93/470,735
  6. Step 6: Final answer
    x = 368,216.30

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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.