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Finding the Fourth Proportional to 286,513.06, 429,178.97 and 167,824.57

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Solution

The fourth proportional to 286,513.06, 429,178.97 and 167,824.57 is: 251,390.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,513.06 : 429,178.97 = 167,824.57 : x
  2. Step 2: Convert to fraction form
    286,513.06/429,178.97 = 167,824.57/x
  3. Step 3: Cross multiply
    286,513.06x = 429,178.97 × 167,824.57
  4. Step 4: Simplify right side
    286,513.06x = 72,026,775,254.17
  5. Step 5: Solve for x
    x = 72,026,775,254.17/286,513.06
  6. Step 6: Final answer
    x = 251,390.90

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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.