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Finding the Fourth Proportional to 602,199, 831,034.62 and 333,927

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Solution

The fourth proportional to 602,199, 831,034.62 and 333,927 is: 460,819.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,199 : 831,034.62 = 333,927 : x
  2. Step 2: Convert to fraction form
    602,199/831,034.62 = 333,927/x
  3. Step 3: Cross multiply
    602,199x = 831,034.62 × 333,927
  4. Step 4: Simplify right side
    602,199x = 277,504,897,552.74
  5. Step 5: Solve for x
    x = 277,504,897,552.74/602,199
  6. Step 6: Final answer
    x = 460,819.26

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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.