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Finding the Fourth Proportional to 512,501.40, 769,335.30 and 302,257.80

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Solution

The fourth proportional to 512,501.40, 769,335.30 and 302,257.80 is: 453,730.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,501.40 : 769,335.30 = 302,257.80 : x
  2. Step 2: Convert to fraction form
    512,501.40/769,335.30 = 302,257.80/x
  3. Step 3: Cross multiply
    512,501.40x = 769,335.30 × 302,257.80
  4. Step 4: Simplify right side
    512,501.40x = 232,537,595,240.34
  5. Step 5: Solve for x
    x = 232,537,595,240.34/512,501.40
  6. Step 6: Final answer
    x = 453,730.65

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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.