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Finding the Fourth Proportional to 470,693.16, 649,560.42 and 255,833.28

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Solution

The fourth proportional to 470,693.16, 649,560.42 and 255,833.28 is: 353,052.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,693.16 : 649,560.42 = 255,833.28 : x
  2. Step 2: Convert to fraction form
    470,693.16/649,560.42 = 255,833.28/x
  3. Step 3: Cross multiply
    470,693.16x = 649,560.42 × 255,833.28
  4. Step 4: Simplify right side
    470,693.16x = 166,179,172,806.78
  5. Step 5: Solve for x
    x = 166,179,172,806.78/470,693.16
  6. Step 6: Final answer
    x = 353,052.02

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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.