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Finding the Fourth Proportional to 369,464.21, 509,866.28 and 216,465.80

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Solution

The fourth proportional to 369,464.21, 509,866.28 and 216,465.80 is: 298,726.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,464.21 : 509,866.28 = 216,465.80 : x
  2. Step 2: Convert to fraction form
    369,464.21/509,866.28 = 216,465.80/x
  3. Step 3: Cross multiply
    369,464.21x = 509,866.28 × 216,465.80
  4. Step 4: Simplify right side
    369,464.21x = 110,368,608,561.56
  5. Step 5: Solve for x
    x = 110,368,608,561.56/369,464.21
  6. Step 6: Final answer
    x = 298,726.12

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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.