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Finding the Fourth Proportional to 462,814, 693,955.32 and 182,178.16

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Solution

The fourth proportional to 462,814, 693,955.32 and 182,178.16 is: 273,162.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,814 : 693,955.32 = 182,178.16 : x
  2. Step 2: Convert to fraction form
    462,814/693,955.32 = 182,178.16/x
  3. Step 3: Cross multiply
    462,814x = 693,955.32 × 182,178.16
  4. Step 4: Simplify right side
    462,814x = 126,423,503,319.81
  5. Step 5: Solve for x
    x = 126,423,503,319.81/462,814
  6. Step 6: Final answer
    x = 273,162.66

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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.