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Finding the Fourth Proportional to 470,783.39, 649,993.74 and 361,693.29

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Solution

The fourth proportional to 470,783.39, 649,993.74 and 361,693.29 is: 499,376.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,783.39 : 649,993.74 = 361,693.29 : x
  2. Step 2: Convert to fraction form
    470,783.39/649,993.74 = 361,693.29/x
  3. Step 3: Cross multiply
    470,783.39x = 649,993.74 × 361,693.29
  4. Step 4: Simplify right side
    470,783.39x = 235,098,374,300.01
  5. Step 5: Solve for x
    x = 235,098,374,300.01/470,783.39
  6. Step 6: Final answer
    x = 499,376.96

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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.