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Finding the Fourth Proportional to 371,426.94, 512,569.14 and 201,661.06

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Solution

The fourth proportional to 371,426.94, 512,569.14 and 201,661.06 is: 278,292.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,426.94 : 512,569.14 = 201,661.06 : x
  2. Step 2: Convert to fraction form
    371,426.94/512,569.14 = 201,661.06/x
  3. Step 3: Cross multiply
    371,426.94x = 512,569.14 × 201,661.06
  4. Step 4: Simplify right side
    371,426.94x = 103,365,236,095.69
  5. Step 5: Solve for x
    x = 103,365,236,095.69/371,426.94
  6. Step 6: Final answer
    x = 278,292.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.