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Finding the Fourth Proportional to 470,969.44, 649,940.88 and 256,111.84

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Solution

The fourth proportional to 470,969.44, 649,940.88 and 256,111.84 is: 353,436.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,969.44 : 649,940.88 = 256,111.84 : x
  2. Step 2: Convert to fraction form
    470,969.44/649,940.88 = 256,111.84/x
  3. Step 3: Cross multiply
    470,969.44x = 649,940.88 × 256,111.84
  4. Step 4: Simplify right side
    470,969.44x = 166,457,554,668.02
  5. Step 5: Solve for x
    x = 166,457,554,668.02/470,969.44
  6. Step 6: Final answer
    x = 353,436.00

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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.