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Finding the Fourth Proportional to 470,507.40, 649,300.86 and 255,650.04

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Solution

The fourth proportional to 470,507.40, 649,300.86 and 255,650.04 is: 352,797.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,507.40 : 649,300.86 = 255,650.04 : x
  2. Step 2: Convert to fraction form
    470,507.40/649,300.86 = 255,650.04/x
  3. Step 3: Cross multiply
    470,507.40x = 649,300.86 × 255,650.04
  4. Step 4: Simplify right side
    470,507.40x = 165,993,790,831.03
  5. Step 5: Solve for x
    x = 165,993,790,831.03/470,507.40
  6. Step 6: Final answer
    x = 352,797.41

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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.