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Finding the Fourth Proportional to 470,696.16, 649,564.56 and 255,836.28

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Solution

The fourth proportional to 470,696.16, 649,564.56 and 255,836.28 is: 353,056.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,696.16 : 649,564.56 = 255,836.28 : x
  2. Step 2: Convert to fraction form
    470,696.16/649,564.56 = 255,836.28/x
  3. Step 3: Cross multiply
    470,696.16x = 649,564.56 × 255,836.28
  4. Step 4: Simplify right side
    470,696.16x = 166,182,180,650.24
  5. Step 5: Solve for x
    x = 166,182,180,650.24/470,696.16
  6. Step 6: Final answer
    x = 353,056.16

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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.