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Finding the Fourth Proportional to 316,876.94, 475,421.32 and 103,654.58

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Solution

The fourth proportional to 316,876.94, 475,421.32 and 103,654.58 is: 155,516.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,876.94 : 475,421.32 = 103,654.58 : x
  2. Step 2: Convert to fraction form
    316,876.94/475,421.32 = 103,654.58/x
  3. Step 3: Cross multiply
    316,876.94x = 475,421.32 × 103,654.58
  4. Step 4: Simplify right side
    316,876.94x = 49,279,597,247.65
  5. Step 5: Solve for x
    x = 49,279,597,247.65/316,876.94
  6. Step 6: Final answer
    x = 155,516.51

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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.