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Finding the Fourth Proportional to 329,646.83, 496,940.94 and 307,675.44

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Solution

The fourth proportional to 329,646.83, 496,940.94 and 307,675.44 is: 463,819.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,646.83 : 496,940.94 = 307,675.44 : x
  2. Step 2: Convert to fraction form
    329,646.83/496,940.94 = 307,675.44/x
  3. Step 3: Cross multiply
    329,646.83x = 496,940.94 × 307,675.44
  4. Step 4: Simplify right side
    329,646.83x = 152,896,522,368.51
  5. Step 5: Solve for x
    x = 152,896,522,368.51/329,646.83
  6. Step 6: Final answer
    x = 463,819.19

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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.