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Finding the Fourth Proportional to 286,494.84, 429,151.77 and 167,806.35

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Solution

The fourth proportional to 286,494.84, 429,151.77 and 167,806.35 is: 251,363.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,494.84 : 429,151.77 = 167,806.35 : x
  2. Step 2: Convert to fraction form
    286,494.84/429,151.77 = 167,806.35/x
  3. Step 3: Cross multiply
    286,494.84x = 429,151.77 × 167,806.35
  4. Step 4: Simplify right side
    286,494.84x = 72,014,392,119.74
  5. Step 5: Solve for x
    x = 72,014,392,119.74/286,494.84
  6. Step 6: Final answer
    x = 251,363.66

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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.