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Finding the Fourth Proportional to 463,083.52, 638,442.66 and 333,913.90

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Solution

The fourth proportional to 463,083.52, 638,442.66 and 333,913.90 is: 460,359.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,083.52 : 638,442.66 = 333,913.90 : x
  2. Step 2: Convert to fraction form
    463,083.52/638,442.66 = 333,913.90/x
  3. Step 3: Cross multiply
    463,083.52x = 638,442.66 × 333,913.90
  4. Step 4: Simplify right side
    463,083.52x = 213,184,878,526.97
  5. Step 5: Solve for x
    x = 213,184,878,526.97/463,083.52
  6. Step 6: Final answer
    x = 460,359.46

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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.