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Finding the Fourth Proportional to 509,709.40, 765,147.30 and 299,465.80

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Solution

The fourth proportional to 509,709.40, 765,147.30 and 299,465.80 is: 449,541.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,709.40 : 765,147.30 = 299,465.80 : x
  2. Step 2: Convert to fraction form
    509,709.40/765,147.30 = 299,465.80/x
  3. Step 3: Cross multiply
    509,709.40x = 765,147.30 × 299,465.80
  4. Step 4: Simplify right side
    509,709.40x = 229,135,448,312.34
  5. Step 5: Solve for x
    x = 229,135,448,312.34/509,709.40
  6. Step 6: Final answer
    x = 449,541.34

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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.