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Finding the Fourth Proportional to 286,643.32, 394,664.22 and 260,071.24

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Solution

The fourth proportional to 286,643.32, 394,664.22 and 260,071.24 is: 358,078.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,643.32 : 394,664.22 = 260,071.24 : x
  2. Step 2: Convert to fraction form
    286,643.32/394,664.22 = 260,071.24/x
  3. Step 3: Cross multiply
    286,643.32x = 394,664.22 × 260,071.24
  4. Step 4: Simplify right side
    286,643.32x = 102,640,813,079.03
  5. Step 5: Solve for x
    x = 102,640,813,079.03/286,643.32
  6. Step 6: Final answer
    x = 358,078.51

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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.