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Finding the Fourth Proportional to 379,689.90, 570,569.49 and 202,323.66

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Solution

The fourth proportional to 379,689.90, 570,569.49 and 202,323.66 is: 304,036.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,689.90 : 570,569.49 = 202,323.66 : x
  2. Step 2: Convert to fraction form
    379,689.90/570,569.49 = 202,323.66/x
  3. Step 3: Cross multiply
    379,689.90x = 570,569.49 × 202,323.66
  4. Step 4: Simplify right side
    379,689.90x = 115,439,703,636.67
  5. Step 5: Solve for x
    x = 115,439,703,636.67/379,689.90
  6. Step 6: Final answer
    x = 304,036.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.