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Finding the Fourth Proportional to 369,197.53, 509,538.94 and 216,294.05

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Solution

The fourth proportional to 369,197.53, 509,538.94 and 216,294.05 is: 298,512.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,197.53 : 509,538.94 = 216,294.05 : x
  2. Step 2: Convert to fraction form
    369,197.53/509,538.94 = 216,294.05/x
  3. Step 3: Cross multiply
    369,197.53x = 509,538.94 × 216,294.05
  4. Step 4: Simplify right side
    369,197.53x = 110,210,241,698.42
  5. Step 5: Solve for x
    x = 110,210,241,698.42/369,197.53
  6. Step 6: Final answer
    x = 298,512.95

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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.