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Finding the Fourth Proportional to 470,901.78, 649,839.57 and 350,581.14

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Solution

The fourth proportional to 470,901.78, 649,839.57 and 350,581.14 is: 483,798.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,901.78 : 649,839.57 = 350,581.14 : x
  2. Step 2: Convert to fraction form
    470,901.78/649,839.57 = 350,581.14/x
  3. Step 3: Cross multiply
    470,901.78x = 649,839.57 × 350,581.14
  4. Step 4: Simplify right side
    470,901.78x = 227,821,497,267.71
  5. Step 5: Solve for x
    x = 227,821,497,267.71/470,901.78
  6. Step 6: Final answer
    x = 483,798.34

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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.