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Finding the Fourth Proportional to 470,389.96, 649,105.31 and 260,836.02

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Solution

The fourth proportional to 470,389.96, 649,105.31 and 260,836.02 is: 359,935.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,389.96 : 649,105.31 = 260,836.02 : x
  2. Step 2: Convert to fraction form
    470,389.96/649,105.31 = 260,836.02/x
  3. Step 3: Cross multiply
    470,389.96x = 649,105.31 × 260,836.02
  4. Step 4: Simplify right side
    470,389.96x = 169,310,046,273.36
  5. Step 5: Solve for x
    x = 169,310,046,273.36/470,389.96
  6. Step 6: Final answer
    x = 359,935.50

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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.