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Finding the Fourth Proportional to 274,300.40, 378,569.40 and 153,448.40

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Solution

The fourth proportional to 274,300.40, 378,569.40 and 153,448.40 is: 211,778.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,300.40 : 378,569.40 = 153,448.40 : x
  2. Step 2: Convert to fraction form
    274,300.40/378,569.40 = 153,448.40/x
  3. Step 3: Cross multiply
    274,300.40x = 378,569.40 × 153,448.40
  4. Step 4: Simplify right side
    274,300.40x = 58,090,868,718.96
  5. Step 5: Solve for x
    x = 58,090,868,718.96/274,300.40
  6. Step 6: Final answer
    x = 211,778.29

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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.