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Finding the Fourth Proportional to 542,684.66, 748,950.83 and 301,045.08

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Solution

The fourth proportional to 542,684.66, 748,950.83 and 301,045.08 is: 415,467.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,684.66 : 748,950.83 = 301,045.08 : x
  2. Step 2: Convert to fraction form
    542,684.66/748,950.83 = 301,045.08/x
  3. Step 3: Cross multiply
    542,684.66x = 748,950.83 × 301,045.08
  4. Step 4: Simplify right side
    542,684.66x = 225,467,961,028.19
  5. Step 5: Solve for x
    x = 225,467,961,028.19/542,684.66
  6. Step 6: Final answer
    x = 415,467.73

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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.