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Finding the Fourth Proportional to 364,101.31, 546,064.41 and 186,516.91

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Solution

The fourth proportional to 364,101.31, 546,064.41 and 186,516.91 is: 279,730.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,101.31 : 546,064.41 = 186,516.91 : x
  2. Step 2: Convert to fraction form
    364,101.31/546,064.41 = 186,516.91/x
  3. Step 3: Cross multiply
    364,101.31x = 546,064.41 × 186,516.91
  4. Step 4: Simplify right side
    364,101.31x = 101,850,243,683.85
  5. Step 5: Solve for x
    x = 101,850,243,683.85/364,101.31
  6. Step 6: Final answer
    x = 279,730.51

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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.