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Finding the Fourth Proportional to 507,862.38, 761,137.47 and 241,704.48

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Solution

The fourth proportional to 507,862.38, 761,137.47 and 241,704.48 is: 362,244.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,862.38 : 761,137.47 = 241,704.48 : x
  2. Step 2: Convert to fraction form
    507,862.38/761,137.47 = 241,704.48/x
  3. Step 3: Cross multiply
    507,862.38x = 761,137.47 × 241,704.48
  4. Step 4: Simplify right side
    507,862.38x = 183,970,336,394.87
  5. Step 5: Solve for x
    x = 183,970,336,394.87/507,862.38
  6. Step 6: Final answer
    x = 362,244.47

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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.