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Finding the Fourth Proportional to 286,513.94, 429,180.28 and 167,825.45

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Solution

The fourth proportional to 286,513.94, 429,180.28 and 167,825.45 is: 251,392.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,513.94 : 429,180.28 = 167,825.45 : x
  2. Step 2: Convert to fraction form
    286,513.94/429,180.28 = 167,825.45/x
  3. Step 3: Cross multiply
    286,513.94x = 429,180.28 × 167,825.45
  4. Step 4: Simplify right side
    286,513.94x = 72,027,370,637.10
  5. Step 5: Solve for x
    x = 72,027,370,637.10/286,513.94
  6. Step 6: Final answer
    x = 251,392.21

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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.