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Finding the Fourth Proportional to 384,029.80, 576,482.10 and 226,347.10

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Solution

The fourth proportional to 384,029.80, 576,482.10 and 226,347.10 is: 339,778.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,029.80 : 576,482.10 = 226,347.10 : x
  2. Step 2: Convert to fraction form
    384,029.80/576,482.10 = 226,347.10/x
  3. Step 3: Cross multiply
    384,029.80x = 576,482.10 × 226,347.10
  4. Step 4: Simplify right side
    384,029.80x = 130,485,051,536.91
  5. Step 5: Solve for x
    x = 130,485,051,536.91/384,029.80
  6. Step 6: Final answer
    x = 339,778.45

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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.