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Finding the Fourth Proportional to 369,411.24, 509,775.96 and 208,263.97

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Solution

The fourth proportional to 369,411.24, 509,775.96 and 208,263.97 is: 287,397.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,411.24 : 509,775.96 = 208,263.97 : x
  2. Step 2: Convert to fraction form
    369,411.24/509,775.96 = 208,263.97/x
  3. Step 3: Cross multiply
    369,411.24x = 509,775.96 × 208,263.97
  4. Step 4: Simplify right side
    369,411.24x = 106,167,965,240.16
  5. Step 5: Solve for x
    x = 106,167,965,240.16/369,411.24
  6. Step 6: Final answer
    x = 287,397.77

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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.