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Finding the Fourth Proportional to 470,969.64, 649,946.04 and 256,116.03

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Solution

The fourth proportional to 470,969.64, 649,946.04 and 256,116.03 is: 353,444.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,969.64 : 649,946.04 = 256,116.03 : x
  2. Step 2: Convert to fraction form
    470,969.64/649,946.04 = 256,116.03/x
  3. Step 3: Cross multiply
    470,969.64x = 649,946.04 × 256,116.03
  4. Step 4: Simplify right side
    470,969.64x = 166,461,599,479.02
  5. Step 5: Solve for x
    x = 166,461,599,479.02/470,969.64
  6. Step 6: Final answer
    x = 353,444.44

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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.