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Finding the Fourth Proportional to 458,992.31, 683,875.22 and 433,208.62

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Solution

The fourth proportional to 458,992.31, 683,875.22 and 433,208.62 is: 645,458.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,992.31 : 683,875.22 = 433,208.62 : x
  2. Step 2: Convert to fraction form
    458,992.31/683,875.22 = 433,208.62/x
  3. Step 3: Cross multiply
    458,992.31x = 683,875.22 × 433,208.62
  4. Step 4: Simplify right side
    458,992.31x = 296,260,638,370.53
  5. Step 5: Solve for x
    x = 296,260,638,370.53/458,992.31
  6. Step 6: Final answer
    x = 645,458.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.