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Finding the Fourth Proportional to 339,782.65, 468,901.25 and 186,830.46

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Solution

The fourth proportional to 339,782.65, 468,901.25 and 186,830.46 is: 257,826.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,782.65 : 468,901.25 = 186,830.46 : x
  2. Step 2: Convert to fraction form
    339,782.65/468,901.25 = 186,830.46/x
  3. Step 3: Cross multiply
    339,782.65x = 468,901.25 × 186,830.46
  4. Step 4: Simplify right side
    339,782.65x = 87,605,034,741.58
  5. Step 5: Solve for x
    x = 87,605,034,741.58/339,782.65
  6. Step 6: Final answer
    x = 257,826.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.