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Finding the Fourth Proportional to 470,684.30, 649,550.92 and 255,824.30

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Solution

The fourth proportional to 470,684.30, 649,550.92 and 255,824.30 is: 353,041.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,684.30 : 649,550.92 = 255,824.30 : x
  2. Step 2: Convert to fraction form
    470,684.30/649,550.92 = 255,824.30/x
  3. Step 3: Cross multiply
    470,684.30x = 649,550.92 × 255,824.30
  4. Step 4: Simplify right side
    470,684.30x = 166,170,909,423.36
  5. Step 5: Solve for x
    x = 166,170,909,423.36/470,684.30
  6. Step 6: Final answer
    x = 353,041.11

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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.