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Finding the Fourth Proportional to 470,825.84, 649,881.96 and 320,010.32

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Solution

The fourth proportional to 470,825.84, 649,881.96 and 320,010.32 is: 441,710.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,825.84 : 649,881.96 = 320,010.32 : x
  2. Step 2: Convert to fraction form
    470,825.84/649,881.96 = 320,010.32/x
  3. Step 3: Cross multiply
    470,825.84x = 649,881.96 × 320,010.32
  4. Step 4: Simplify right side
    470,825.84x = 207,968,933,981.83
  5. Step 5: Solve for x
    x = 207,968,933,981.83/470,825.84
  6. Step 6: Final answer
    x = 441,710.96

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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.