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Finding the Fourth Proportional to 414,210.78, 571,473.38 and 337,598.28

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Solution

The fourth proportional to 414,210.78, 571,473.38 and 337,598.28 is: 465,773.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,210.78 : 571,473.38 = 337,598.28 : x
  2. Step 2: Convert to fraction form
    414,210.78/571,473.38 = 337,598.28/x
  3. Step 3: Cross multiply
    414,210.78x = 571,473.38 × 337,598.28
  4. Step 4: Simplify right side
    414,210.78x = 192,928,430,153.79
  5. Step 5: Solve for x
    x = 192,928,430,153.79/414,210.78
  6. Step 6: Final answer
    x = 465,773.56

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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.