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Finding the Fourth Proportional to 286,396.80, 428,720.40 and 223,411.20

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Solution

The fourth proportional to 286,396.80, 428,720.40 and 223,411.20 is: 334,434.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,396.80 : 428,720.40 = 223,411.20 : x
  2. Step 2: Convert to fraction form
    286,396.80/428,720.40 = 223,411.20/x
  3. Step 3: Cross multiply
    286,396.80x = 428,720.40 × 223,411.20
  4. Step 4: Simplify right side
    286,396.80x = 95,780,939,028.48
  5. Step 5: Solve for x
    x = 95,780,939,028.48/286,396.80
  6. Step 6: Final answer
    x = 334,434.39

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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.