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Finding the Fourth Proportional to 493,151.30, 739,073.02 and 253,255.51

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Solution

The fourth proportional to 493,151.30, 739,073.02 and 253,255.51 is: 379,547.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,151.30 : 739,073.02 = 253,255.51 : x
  2. Step 2: Convert to fraction form
    493,151.30/739,073.02 = 253,255.51/x
  3. Step 3: Cross multiply
    493,151.30x = 739,073.02 × 253,255.51
  4. Step 4: Simplify right side
    493,151.30x = 187,174,314,607.34
  5. Step 5: Solve for x
    x = 187,174,314,607.34/493,151.30
  6. Step 6: Final answer
    x = 379,547.44

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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.