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Finding the Fourth Proportional to 286,412.20, 429,326.70 and 168,022.60

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Solution

The fourth proportional to 286,412.20, 429,326.70 and 168,022.60 is: 251,862.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,412.20 : 429,326.70 = 168,022.60 : x
  2. Step 2: Convert to fraction form
    286,412.20/429,326.70 = 168,022.60/x
  3. Step 3: Cross multiply
    286,412.20x = 429,326.70 × 168,022.60
  4. Step 4: Simplify right side
    286,412.20x = 72,136,588,383.42
  5. Step 5: Solve for x
    x = 72,136,588,383.42/286,412.20
  6. Step 6: Final answer
    x = 251,862.83

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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.