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Finding the Fourth Proportional to 369,526.10, 509,943.92 and 208,382.49

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Solution

The fourth proportional to 369,526.10, 509,943.92 and 208,382.49 is: 287,566.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,526.10 : 509,943.92 = 208,382.49 : x
  2. Step 2: Convert to fraction form
    369,526.10/509,943.92 = 208,382.49/x
  3. Step 3: Cross multiply
    369,526.10x = 509,943.92 × 208,382.49
  4. Step 4: Simplify right side
    369,526.10x = 106,263,382,768.05
  5. Step 5: Solve for x
    x = 106,263,382,768.05/369,526.10
  6. Step 6: Final answer
    x = 287,566.65

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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.