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Finding the Fourth Proportional to 495,363.54, 683,810.94 and 334,436.56

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Solution

The fourth proportional to 495,363.54, 683,810.94 and 334,436.56 is: 461,663.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,363.54 : 683,810.94 = 334,436.56 : x
  2. Step 2: Convert to fraction form
    495,363.54/683,810.94 = 334,436.56/x
  3. Step 3: Cross multiply
    495,363.54x = 683,810.94 × 334,436.56
  4. Step 4: Simplify right side
    495,363.54x = 228,691,378,463.97
  5. Step 5: Solve for x
    x = 228,691,378,463.97/495,363.54
  6. Step 6: Final answer
    x = 461,663.73

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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.