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Finding the Fourth Proportional to 535,138.82, 738,483.12 and 293,423.38

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Solution

The fourth proportional to 535,138.82, 738,483.12 and 293,423.38 is: 404,919.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,138.82 : 738,483.12 = 293,423.38 : x
  2. Step 2: Convert to fraction form
    535,138.82/738,483.12 = 293,423.38/x
  3. Step 3: Cross multiply
    535,138.82x = 738,483.12 × 293,423.38
  4. Step 4: Simplify right side
    535,138.82x = 216,688,213,143.35
  5. Step 5: Solve for x
    x = 216,688,213,143.35/535,138.82
  6. Step 6: Final answer
    x = 404,919.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.