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Finding the Fourth Proportional to 286,564.60, 429,846.90 and 185,525.20

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Solution

The fourth proportional to 286,564.60, 429,846.90 and 185,525.20 is: 278,287.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,564.60 : 429,846.90 = 185,525.20 : x
  2. Step 2: Convert to fraction form
    286,564.60/429,846.90 = 185,525.20/x
  3. Step 3: Cross multiply
    286,564.60x = 429,846.90 × 185,525.20
  4. Step 4: Simplify right side
    286,564.60x = 79,747,432,091.88
  5. Step 5: Solve for x
    x = 79,747,432,091.88/286,564.60
  6. Step 6: Final answer
    x = 278,287.80

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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.