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Finding the Fourth Proportional to 464,004.52, 696,065.64 and 164,426.56

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Solution

The fourth proportional to 464,004.52, 696,065.64 and 164,426.56 is: 246,660.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,004.52 : 696,065.64 = 164,426.56 : x
  2. Step 2: Convert to fraction form
    464,004.52/696,065.64 = 164,426.56/x
  3. Step 3: Cross multiply
    464,004.52x = 696,065.64 × 164,426.56
  4. Step 4: Simplify right side
    464,004.52x = 114,451,678,719.40
  5. Step 5: Solve for x
    x = 114,451,678,719.40/464,004.52
  6. Step 6: Final answer
    x = 246,660.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.