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Finding the Fourth Proportional to 307,423.58, 461,210.38 and 117,880.54

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Solution

The fourth proportional to 307,423.58, 461,210.38 and 117,880.54 is: 176,849.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,423.58 : 461,210.38 = 117,880.54 : x
  2. Step 2: Convert to fraction form
    307,423.58/461,210.38 = 117,880.54/x
  3. Step 3: Cross multiply
    307,423.58x = 461,210.38 × 117,880.54
  4. Step 4: Simplify right side
    307,423.58x = 54,367,727,200.28
  5. Step 5: Solve for x
    x = 54,367,727,200.28/307,423.58
  6. Step 6: Final answer
    x = 176,849.57

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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.