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Finding the Fourth Proportional to 369,197.13, 509,492.30 and 199,431.25

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Solution

The fourth proportional to 369,197.13, 509,492.30 and 199,431.25 is: 275,215.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,197.13 : 509,492.30 = 199,431.25 : x
  2. Step 2: Convert to fraction form
    369,197.13/509,492.30 = 199,431.25/x
  3. Step 3: Cross multiply
    369,197.13x = 509,492.30 × 199,431.25
  4. Step 4: Simplify right side
    369,197.13x = 101,608,686,254.38
  5. Step 5: Solve for x
    x = 101,608,686,254.38/369,197.13
  6. Step 6: Final answer
    x = 275,215.27

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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.