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Finding the Fourth Proportional to 329,649.82, 496,945.47 and 307,678.44

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Solution

The fourth proportional to 329,649.82, 496,945.47 and 307,678.44 is: 463,823.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,649.82 : 496,945.47 = 307,678.44 : x
  2. Step 2: Convert to fraction form
    329,649.82/496,945.47 = 307,678.44/x
  3. Step 3: Cross multiply
    329,649.82x = 496,945.47 × 307,678.44
  4. Step 4: Simplify right side
    329,649.82x = 152,899,406,974.67
  5. Step 5: Solve for x
    x = 152,899,406,974.67/329,649.82
  6. Step 6: Final answer
    x = 463,823.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.