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Finding the Fourth Proportional to 462,812, 693,952.32 and 182,176.16

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Solution

The fourth proportional to 462,812, 693,952.32 and 182,176.16 is: 273,159.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,812 : 693,952.32 = 182,176.16 : x
  2. Step 2: Convert to fraction form
    462,812/693,952.32 = 182,176.16/x
  3. Step 3: Cross multiply
    462,812x = 693,952.32 × 182,176.16
  4. Step 4: Simplify right side
    462,812x = 126,421,568,880.69
  5. Step 5: Solve for x
    x = 126,421,568,880.69/462,812
  6. Step 6: Final answer
    x = 273,159.66

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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.