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Finding the Fourth Proportional to 369,223.64, 509,527.98 and 199,457.24

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Solution

The fourth proportional to 369,223.64, 509,527.98 and 199,457.24 is: 275,250.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,223.64 : 509,527.98 = 199,457.24 : x
  2. Step 2: Convert to fraction form
    369,223.64/509,527.98 = 199,457.24/x
  3. Step 3: Cross multiply
    369,223.64x = 509,527.98 × 199,457.24
  4. Step 4: Simplify right side
    369,223.64x = 101,629,044,593.58
  5. Step 5: Solve for x
    x = 101,629,044,593.58/369,223.64
  6. Step 6: Final answer
    x = 275,250.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.