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Finding the Fourth Proportional to 324,007.10, 454,076.50 and 324,007.10

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Solution

The fourth proportional to 324,007.10, 454,076.50 and 324,007.10 is: 454,076.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,007.10 : 454,076.50 = 324,007.10 : x
  2. Step 2: Convert to fraction form
    324,007.10/454,076.50 = 324,007.10/x
  3. Step 3: Cross multiply
    324,007.10x = 454,076.50 × 324,007.10
  4. Step 4: Simplify right side
    324,007.10x = 147,124,009,943.15
  5. Step 5: Solve for x
    x = 147,124,009,943.15/324,007.10
  6. Step 6: Final answer
    x = 454,076.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.